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114363001165344 = 25311712776336643
BaseRepresentation
bin11010000000001100110110…
…000011110101011000100000
3112222220222220011222022102120
4122000030312003311120200
5104442210411244242334
61043121345404344240
733042311531521251
oct3200146603653040
9488828804868376
10114363001165344
11334920927a2058
12109b0395845080
134ba7500357749
1420352ad6a2b28
15d34c9dd03949
hex6803360f5620

114363001165344 has 96 divisors (see below), whose sum is σ = 300478264821504. Its totient is φ = 38086034837760.

The previous prime is 114363001165307. The next prime is 114363001165349. The reversal of 114363001165344 is 443561100363411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 114363001165296 and 114363001165305.

It is not an unprimeable number, because it can be changed into a prime (114363001165349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120987087 + ... + 3121023729.

It is an arithmetic number, because the mean of its divisors is an integer number (3129981925224).

Almost surely, 2114363001165344 is an apocalyptic number.

It is an amenable number.

114363001165344 is an abundant number, since it is smaller than the sum of its proper divisors (186115263656160).

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

114363001165344 is a wasteful number, since it uses less digits than its factorization.

114363001165344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65590 (or 65582 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 114363001165344 in words is "one hundred fourteen trillion, three hundred sixty-three billion, one million, one hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1171 2342 3513 4684 7026 9368 14052 18736 27763 28104 36643 37472 55526 56208 73286 83289 109929 111052 112416 146572 166578 219858 222104 293144 333156 439716 444208 586288 666312 879432 888416 1172576 1332624 1758864 2665248 3517728 32510473 42908953 65020946 85817906 97531419 128726859 130041892 171635812 195062838 257453718 260083784 343271624 390125676 514907436 520167568 686543248 780251352 1017319609 1029814872 1040335136 1373086496 1560502704 2034639218 2059629744 3051958827 3121005408 4069278436 4119259488 6103917654 8138556872 12207835308 16277113744 24415670616 32554227488 48831341232 97662682464 1191281262139 2382562524278 3573843786417 4765125048556 7147687572834 9530250097112 14295375145668 19060500194224 28590750291336 38121000388448 57181500582672 114363001165344