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114224121110502 = 232136132572456939
BaseRepresentation
bin11001111110001011100000…
…001010011101111111100110
3112222102201102101122112121200
4121332023200022131333212
5104432422000001014002
61042533500431023330
733026264126525214
oct3176134012357746
9488381371575550
10114224121110502
11334391a5606327
121098949706ab46
134b9739980a8c0
14202c696ac5cb4
15d313715a7b1c
hex67e2e029dfe6

114224121110502 has 96 divisors (see below), whose sum is σ = 270975460523040. Its totient is φ = 34559093352960.

The previous prime is 114224121110471. The next prime is 114224121110527. The reversal of 114224121110502 is 205011121422411.

It is a happy number.

114224121110502 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 41 + 2 + 1 + 110 + 502 = 666.

It is a congruent number.

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, 45261949 + ... + 47718887.

It is an arithmetic number, because the mean of its divisors is an integer number (2822661047115).

Almost surely, 2114224121110502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114224121110502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135487730261520).

114224121110502 is an abundant number, since it is smaller than the sum of its proper divisors (156751339412538).

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

114224121110502 is a wasteful number, since it uses less digits than its factorization.

114224121110502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460278 (or 2460275 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 114224121110502 its reverse (205011121422411), we get a palindrome (319235242532913).

The spelling of 114224121110502 in words is "one hundred fourteen trillion, two hundred twenty-four billion, one hundred twenty-one million, one hundred ten thousand, five hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 3257 4758 6514 7137 9771 14274 19542 29313 42341 58626 84682 127023 198677 254046 381069 397354 596031 762138 1192062 1788093 2456939 2582801 3576186 4913878 5165602 7370817 7748403 14741634 15496806 22112451 23245209 31940207 44224902 46490418 63880414 95820621 149873279 191641242 287461863 299746558 449619837 574923726 899239674 1348859511 1948352627 2697719022 3896705254 5845057881 8002250323 11690115762 16004500646 17535173643 24006750969 35070347286 48013501938 72020252907 104029254199 144040505814 208058508398 312087762597 488137269703 624175525194 936263287791 976274539406 1464411809109 1872526575582 2928823618218 4393235427327 6345784506139 8786470854654 12691569012278 19037353518417 38074707036834 57112060555251 114224121110502