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1110345155040 = 253511219117513
BaseRepresentation
bin10000001010000101101…
…110101000000111100000
310221010222212022002120010
4100022011232220013200
5121142441324430130
62210030250044520
7143135250044262
oct20120556500740
93833885262503
101110345155040
11398992991100
1215b238419740
13809221435a4
143ba533d5b32
151dd38cdc0b0
hex10285ba81e0

1110345155040 has 144 divisors (see below), whose sum is σ = 3844455595344. Its totient is φ = 269174568960.

The previous prime is 1110345155033. The next prime is 1110345155069. The reversal of 1110345155040 is 405515430111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1110345154989 and 1110345155007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9500677 + ... + 9616836.

It is an arithmetic number, because the mean of its divisors is an integer number (26697608301).

Almost surely, 21110345155040 is an apocalyptic number.

1110345155040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110345155040 is an abundant number, since it is smaller than the sum of its proper divisors (2734110440304).

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

1110345155040 is a wasteful number, since it uses less digits than its factorization.

1110345155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117553 (or 19117534 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 1110345155040 in words is "one trillion, one hundred ten billion, three hundred forty-five million, one hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 19117513 38235026 57352539 76470052 95587565 114705078 152940104 191175130 210292643 229410156 286762695 305880208 382350260 420585286 458820312 573525390 611760416 630877929 764700520 841170572 917640624 1051463215 1147050780 1261755858 1529401040 1682341144 1835281248 2102926430 2294101560 2313219073 2523511716 3058802080 3154389645 3364682288 4205852860 4588203120 4626438146 5047023432 6308779290 6729364576 6939657219 8411705720 9176406240 9252876292 10094046864 11566095365 12617558580 13879314438 16823411440 18505752584 20188093728 23132190730 25235117160 27758628876 33646822880 34698286095 37011505168 46264381460 50470234320 55517257752 69396572190 74023010336 92528762920 100940468640 111034515504 138793144380 185057525840 222069031008 277586288760 370115051680 555172577520 1110345155040