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1156434337344 = 263111342119549
BaseRepresentation
bin10000110101000000110…
…110111001111001000000
311002112221220020010212010
4100311000312321321000
5122421334142243334
62243131505132520
7146356343452206
oct20650066717100
94075856203763
101156434337344
11406494042a10
1216815b62a140
13850888b85b0
143dd86589076
15201351760e9
hex10d40db9e40

1156434337344 has 112 divisors (see below), whose sum is σ = 3594650875200. Its totient is φ = 323478128640.

The previous prime is 1156434337343. The next prime is 1156434337349. The reversal of 1156434337344 is 4437334346511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1156434337293 and 1156434337302.

It is not an unprimeable number, because it can be changed into a prime (1156434337343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21032319 + ... + 21087230.

It is an arithmetic number, because the mean of its divisors is an integer number (32095097100).

Almost surely, 21156434337344 is an apocalyptic number.

It is an amenable number.

1156434337344 is an abundant number, since it is smaller than the sum of its proper divisors (2438216537856).

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

1156434337344 is a wasteful number, since it uses less digits than its factorization.

1156434337344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42119588 (or 42119578 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 48.

The spelling of 1156434337344 in words is "one trillion, one hundred fifty-six billion, four hundred thirty-four million, three hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 42119549 84239098 126358647 168478196 252717294 336956392 463315039 505434588 547554137 673912784 926630078 1010869176 1095108274 1347825568 1389945117 1642662411 1853260156 2021738352 2190216548 2695651136 2779890234 3285324822 3706520312 4043476704 4380433096 5559780468 6023095507 6570649644 7413040624 8086953408 8760866192 11119560936 12046191014 13141299288 14826081248 17521732384 18069286521 22239121872 24092382028 26282598576 29652162496 35043464768 36138573042 44478243744 48184764056 52565197152 72277146084 88956487488 96369528112 105130394304 144554292168 192739056224 289108584336 385478112448 578217168672 1156434337344