Search a number
-
+
232044252332355 = 345291071345713721
BaseRepresentation
bin110100110000101100000011…
…001110111000000101000011
31010102121012202220202001220000
4310300230003032320011003
5220403303112044113410
62141303354034451043
766606433614104241
oct6460540316700503
91112535686661800
10232044252332355
1167a33462073491
1222037892733a83
139c628a9cb4628
144143004aa7791
151bc600bce7dc0
hexd30b033b8143

232044252332355 has 160 divisors (see below), whose sum is σ = 434389750914240. Its totient is φ = 118355307356160.

The previous prime is 232044252332341. The next prime is 232044252332371. The reversal of 232044252332355 is 553233252440232.

232044252332355 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 4 + 42 + 523 + 32 + 3 + 55 = 666.

It is not a de Polignac number, because 232044252332355 - 27 = 232044252332227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 232044252332355.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16911606895 + ... + 16911620615.

It is an arithmetic number, because the mean of its divisors is an integer number (2714935943214).

Almost surely, 2232044252332355 is an apocalyptic number.

232044252332355 is a deficient number, since it is larger than the sum of its proper divisors (202345498581885).

232044252332355 is a wasteful number, since it uses less digits than its factorization.

232044252332355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27331 (or 27322 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

The spelling of 232044252332355 in words is "two hundred thirty-two trillion, forty-four billion, two hundred fifty-two million, three hundred thirty-two thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 107 135 145 261 321 405 435 535 783 963 1305 1605 2349 2889 3103 3915 4815 8667 9309 11745 13457 13721 14445 15515 27927 40371 41163 43335 46545 67285 68605 83781 121113 123489 139635 201855 205815 251343 363339 370467 390253 397909 418905 605565 617445 1090017 1111401 1170759 1193727 1256715 1439899 1468147 1816695 1852335 1951265 1989545 3512277 3581181 4319697 4404441 5450085 5557005 5853795 5968635 7199495 7340735 10536831 10743543 12959091 13213323 17561385 17905905 21598485 22022205 31610493 32230629 38877273 39639969 41757071 42576263 52684155 53717715 64795455 66066615 116631819 118919907 125271213 127728789 158052465 161153145 184643497 194386365 198199845 208785355 212881315 375813639 383186367 553930491 583159095 594599535 626356065 638643945 923217485 1127440917 1149559101 1661791473 1879068195 1915931835 2769652455 3382322751 3448677303 4985374419 5354661413 5637204585 5747795505 8308957365 14956123257 16063984239 16911613755 17243386515 19756854179 24926872095 26773307065 48191952717 59270562537 74780616285 80319921195 98784270895 144575858151 177811687611 240959763585 296352812685 433727574453 533435062833 572948771191 722879290755 889058438055 1600305188499 1718846313573 2168637872265 2667175314165 2864743855955 5156538940719 8001525942495 8594231567865 15469616822157 25782694703595 46408850466471 77348084110785 232044252332355