Search a number
-
+
232504105444452 = 2232319071364916829
BaseRepresentation
bin110100110111011000010100…
…100111010010010001100100
31010111020011201212111120022100
4310313120110213102101210
5220433321401443210302
62142254524514532100
766654603323054322
oct6467302447222144
91114204655446270
10232504105444452
11680a048a176886
12220b0a2a597030
139c9707380061a
14415b38a004d12
151bd2e730cbd1c
hexd376149d2464

232504105444452 has 144 divisors (see below), whose sum is σ = 607426852032000. Its totient is φ = 74908692311040.

The previous prime is 232504105444423. The next prime is 232504105444517. The reversal of 232504105444452 is 254444501405232.

232504105444452 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 0 + 4 + 10 + 544 + 44 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 232504105444398 and 232504105444407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13815673174 + ... + 13815690002.

It is an arithmetic number, because the mean of its divisors is an integer number (4218242028000).

Almost surely, 2232504105444452 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 232504105444452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303713426016000).

232504105444452 is an abundant number, since it is smaller than the sum of its proper divisors (374922746587548).

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

232504105444452 is a wasteful number, since it uses less digits than its factorization.

232504105444452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31426 (or 31421 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 232504105444452 its reverse (254444501405232), we get a palindrome (486948606849684).

The spelling of 232504105444452 in words is "two hundred thirty-two trillion, five hundred four billion, one hundred five million, four hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 907 1116 1814 2721 3628 5442 8163 10884 13649 16326 16829 27298 28117 32652 33658 40947 50487 54596 56234 67316 81894 84351 100974 112468 122841 151461 163788 168702 201948 245682 253053 302922 337404 423119 491364 506106 521699 605844 846238 1012212 1043398 1269357 1565097 1692476 2086796 2538714 3130194 3808071 4695291 5077428 6260388 7616142 9390582 12379643 15232284 15263903 18781164 24759286 30527806 37138929 45791709 49518572 61055612 74277858 91583418 111416787 137375127 148555716 183166836 222833574 229699021 274750254 383768933 445667148 459398042 473180993 549500508 689097063 767537866 918796084 946361986 1151306799 1378194126 1419542979 1535075732 1892723972 2067291189 2302613598 2756388252 2839085958 3453920397 4134582378 4258628937 4605227196 5678171916 6907840794 7120669651 8269164756 8517257874 13815681588 14241339302 17034515748 21362008953 28482678604 42724017906 64086026859 85448035812 128172053718 208337012047 256344107436 416674024094 625011036141 833348048188 1250022072282 1875033108423 2500044144564 3750066216846 6458447373457 7500132433692 12916894746914 19375342120371 25833789493828 38750684240742 58126026361113 77501368481484 116252052722226 232504105444452