Search a number
-
+
445398479797944 = 233537323251206299
BaseRepresentation
bin110010101000101100110101…
…0001010111111111010111000
32011102000200022212100100200110
41211101121222022333322320
5431334402041312013234
64215141123100504320
7162546656353114341
oct14521315212777270
92142020285310613
10445398479797944
11119a10486371292
1241b5526184b0a0
131616ab865a145a
147bdb5897cb0c8
153675c8377a1e9
hex195166a2bfeb8

445398479797944 has 128 divisors (see below), whose sum is σ = 1150101770976000. Its totient is φ = 143662626432000.

The previous prime is 445398479797913. The next prime is 445398479797961. The reversal of 445398479797944 is 449797974893544.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158891707 + ... + 2159098005.

It is an arithmetic number, because the mean of its divisors is an integer number (8985170085750).

Almost surely, 2445398479797944 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 445398479797944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575050885488000).

445398479797944 is an abundant number, since it is smaller than the sum of its proper divisors (704703291178056).

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

445398479797944 is a wasteful number, since it uses less digits than its factorization.

445398479797944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229685 (or 229681 counting only the distinct ones).

The product of its digits is 276531978240, while the sum is 93.

The spelling of 445398479797944 in words is "four hundred forty-five trillion, three hundred ninety-eight billion, four hundred seventy-nine million, seven hundred ninety-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 73 106 146 159 212 219 292 318 424 438 584 636 876 1272 1752 3869 7738 11607 15476 23214 23251 30952 46428 46502 69753 92856 93004 139506 186008 206299 279012 412598 558024 618897 825196 1232303 1237794 1650392 1697323 2464606 2475588 3394646 3696909 4929212 4951176 5091969 6789292 7393818 9858424 10183938 10933847 13578584 14787636 15059827 20367876 21867694 29575272 30119654 32801541 40735752 43735388 45179481 60239308 65603082 87470776 89958119 90358962 120478616 131206164 179916238 180717924 262412328 269874357 359832476 361435848 539748714 719664952 798170831 1079497428 1596341662 2158994856 2394512493 3192683324 4789024986 4796658049 6385366648 9578049972 9593316098 14389974147 19156099944 19186632196 28779948294 38373264392 57559896588 115119793176 254222876597 350156037577 508445753194 700312075154 762668629791 1016891506388 1050468112731 1400624150308 1525337259582 2033783012776 2100936225462 2801248300616 3050674519164 4201872450924 6101349038328 8403744901848 18558269991581 37116539983162 55674809974743 74233079966324 111349619949486 148466159932648 222699239898972 445398479797944