Search a number
-
+
114115220442 = 23417831792789
BaseRepresentation
bin110101001000111001…
…1000001001111011010
3101220112212220211120000
41222101303001033122
53332201444023232
6124231313113430
711146611240456
oct1522163011732
9356485824500
10114115220442
114443a081143
121a148b58876
13a9b7c60ba2
14574796b666
152e7d52c27c
hex1a91cc13da

114115220442 has 160 divisors (see below), whose sum is σ = 275635483200. Its totient is φ = 35159311872.

The previous prime is 114115220407. The next prime is 114115220447. The reversal of 114115220442 is 244022511411.

114115220442 is a `hidden beast` number, since 1 + 1 + 411 + 5 + 2 + 204 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114115220447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40914784 + ... + 40917572.

It is an arithmetic number, because the mean of its divisors is an integer number (1722721770).

Almost surely, 2114115220442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114115220442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137817741600).

114115220442 is an abundant number, since it is smaller than the sum of its proper divisors (161520262758).

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

114115220442 is a wasteful number, since it uses less digits than its factorization.

114115220442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114115220442 its reverse (244022511411), we get a palindrome (358137731853).

The spelling of 114115220442 in words is "one hundred fourteen billion, one hundred fifteen million, two hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 83 102 153 162 166 179 249 306 358 459 498 537 747 918 1074 1377 1411 1494 1611 2241 2754 2789 2822 3043 3222 4233 4482 4833 5578 6086 6723 8367 8466 9129 9666 12699 13446 14499 14857 16734 18258 25101 25398 27387 28998 29714 38097 44571 47413 50202 54774 75303 76194 82161 89142 94826 114291 133713 142239 150606 164322 225909 228582 231487 246483 252569 267426 284478 401139 426717 451818 462974 492966 499231 505138 694461 757707 802278 853434 998462 1203417 1280151 1388922 1497693 1515414 2083383 2273121 2406834 2560302 2995386 3840453 3935279 4166766 4493079 4546242 6250149 6819363 7680906 7870558 8486927 8986158 11805837 12500298 13479237 13638726 16973854 18750447 20458089 23611674 25460781 26958474 35417511 37500894 40437711 40916178 41436173 50921562 70835022 76382343 80875422 82872346 106252533 124308519 152764686 212505066 229147029 248617038 318757599 372925557 458294058 637515198 687441087 704414941 745851114 1118776671 1374882174 1408829882 2113244823 2237553342 3356330013 4226489646 6339734469 6712660026 12679468938 19019203407 38038406814 57057610221 114115220442