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102434716311044 = 221319432750987649
BaseRepresentation
bin10111010010100111110000…
…111000001101111000000100
3111102200122220111121002002112
4113102213300320031320010
5101411242244333423134
61001505505315000152
730401443522261205
oct2722476070157004
9442618814532075
10102434716311044
112a703356987707
12b5a464b299058
134520724532820
141b41c1c4055ac
15bc9866d8a1ce
hex5d29f0e0de04

102434716311044 has 96 divisors (see below), whose sum is σ = 207946329360000. Its totient is φ = 43745568362496.

The previous prime is 102434716310959. The next prime is 102434716311089. The reversal of 102434716311044 is 440113617434201.

It is a super-2 number, since 2×1024347163110442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102434716310992 and 102434716311010.

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, 1168648532 + ... + 1168736180.

It is an arithmetic number, because the mean of its divisors is an integer number (2166107597500).

Almost surely, 2102434716311044 is an apocalyptic number.

It is an amenable number.

102434716311044 is an abundant number, since it is smaller than the sum of its proper divisors (105511613048956).

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

102434716311044 is a wasteful number, since it uses less digits than its factorization.

102434716311044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115237 (or 115235 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 102434716311044 in words is "one hundred two trillion, four hundred thirty-four billion, seven hundred sixteen million, three hundred eleven thousand, forty-four".

Divisors: 1 2 4 13 19 26 38 43 52 76 86 172 247 494 559 817 988 1118 1634 2236 3268 10621 21242 27509 42484 55018 87649 110036 175298 350596 357617 522671 715234 1045342 1139437 1182887 1430468 1665331 2090684 2278874 2365774 3330662 3768907 4557748 4731548 6661324 6794723 7537814 13589446 15075628 15377531 21649303 22474853 27178892 30755062 43298606 44949706 48995791 61510124 71609233 86597212 89899412 97991582 143218466 195983164 286436932 292173089 584346178 930920029 1168692356 1861840058 2411136341 3723680116 4822272682 9644545364 31344772433 45811590479 62689544866 91623180958 103678862663 125379089732 183246361916 207357725326 414715450652 595550676227 1191101352454 1347825214619 1969898390597 2382202704908 2695650429238 3939796781194 5391300858476 7879593562388 25608679077761 51217358155522 102434716311044