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190343607041304 = 23341791998246263
BaseRepresentation
bin101011010001110111010011…
…000101010011110100011000
3220221221200010020200001110000
4223101313103011103310120
5144422042201400310204
61512454351303453000
755043605011413013
oct5321672305236430
9827850106601400
10190343607041304
11557162a7a22142
1219421a48a57160
13822942c3bb8a2
1435009732a837a
151701419ce5039
hexad1dd3153d18

190343607041304 has 160 divisors (see below), whose sum is σ = 538810889760000. Its totient is φ = 62776351712448.

The previous prime is 190343607041303. The next prime is 190343607041491. The reversal of 190343607041304 is 403140706343091.

190343607041304 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 4 + 3 + 607 + 0 + 4 + 1 + 30 + 4 = 666.

190343607041304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 190343607041304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190343607041303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18959277 + ... + 27205539.

It is an arithmetic number, because the mean of its divisors is an integer number (3367568061000).

Almost surely, 2190343607041304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190343607041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269405444880000).

190343607041304 is an abundant number, since it is smaller than the sum of its proper divisors (348467282718696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190343607041304 is a wasteful number, since it uses less digits than its factorization.

190343607041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246659 (or 8246646 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 190343607041304 in words is "one hundred ninety trillion, three hundred forty-three billion, six hundred seven million, forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 179 199 216 324 358 398 537 597 648 716 796 1074 1194 1432 1592 1611 1791 2148 2388 3222 3582 4296 4776 4833 5373 6444 7164 9666 10746 12888 14328 14499 16119 19332 21492 28998 32238 35621 38664 42984 57996 64476 71242 106863 115992 128952 142484 213726 284968 320589 427452 641178 854904 961767 1282356 1923534 2564712 2885301 3847068 5770602 7694136 8246263 11541204 16492526 23082408 24738789 32985052 49477578 65970104 74216367 98955156 148432734 197910312 222649101 296865468 445298202 593730936 667947303 890596404 1335894606 1476081077 1641006337 1781192808 2671789212 2952162154 3282012674 4428243231 4923019011 5343578424 5904324308 6564025348 8856486462 9846038022 11808648616 13128050696 13284729693 14769057033 17712972924 19692076044 26569459386 29538114066 35425945848 39384152088 39854189079 44307171099 53138918772 59076228132 79708378158 88614342198 106277837544 118152456264 119562567237 132921513297 159416756316 177228684396 239125134474 265843026594 293740134323 318833512632 354457368792 478250268948 531686053188 587480268646 881220402969 956500537896 1063372106376 1174960537292 1762440805938 2349921074584 2643661208907 3524881611876 5287322417814 7049763223752 7930983626721 10574644835628 15861967253442 21149289671256 23792950880163 31723934506884 47585901760326 63447869013768 95171803520652 190343607041304