Search a number
-
+
72040483445256 = 23332399346140169
BaseRepresentation
bin10000011000010100111011…
…011011001101101000001000
3100110002000002011012201111000
4100120110323123031220020
533420302402230222011
6413114535145135000
721113516223526224
oct2030247333155010
9313060064181430
1072040483445256
1120a552198a4587
1280b5b1818a460
13312750852a4c1
1413b0ac6ba9784
1584de11b53356
hex41853b6cda08

72040483445256 has 128 divisors (see below), whose sum is σ = 200258697600000. Its totient is φ = 23995951879680.

The previous prime is 72040483445191. The next prime is 72040483445257. The reversal of 72040483445256 is 65254438404027.

It is a happy number.

72040483445256 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 0 + 48 + 344 + 5 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72040483445257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793414740 + ... + 1793454908.

It is an arithmetic number, because the mean of its divisors is an integer number (1564521075000).

Almost surely, 272040483445256 is an apocalyptic number.

It is an amenable number.

72040483445256 is an abundant number, since it is smaller than the sum of its proper divisors (128218214154744).

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

72040483445256 is a wasteful number, since it uses less digits than its factorization.

72040483445256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46044 (or 46034 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 72040483445256 in words is "seventy-two trillion, forty billion, four hundred eighty-three million, four hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2399 3461 4798 6922 7197 9596 10383 13844 14394 19192 20766 21591 27688 28788 31149 40169 41532 43182 57576 62298 64773 80338 83064 86364 93447 120507 124596 129546 160676 172728 186894 241014 249192 259092 321352 361521 373788 482028 518184 723042 747576 964056 1084563 1446084 2169126 2892168 4338252 8302939 8676504 16605878 24908817 33211756 49817634 66423512 74726451 96365431 99635268 139024909 149452902 192730862 199270536 224179353 278049818 289096293 298905804 385461724 417074727 448358706 556099636 578192586 597811608 770923448 834149454 867288879 896717412 1112199272 1156385172 1251224181 1668298908 1734577758 1793434824 2312770344 2502448362 2601866637 3336597816 3469155516 3753672543 5004896724 5203733274 6938311032 7507345086 10009793448 10407466548 15014690172 20814933096 30029380344 333520756691 667041513382 1000562270073 1334083026764 2001124540146 2668166053528 3001686810219 4002249080292 6003373620438 8004498160584 9005060430657 12006747240876 18010120861314 24013494481752 36020241722628 72040483445256