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112444043140 = 2251113383102653
BaseRepresentation
bin110100010111000101…
…1111110111110000100
3101202020102022020021101
41220232023332332010
53320241133340030
6123353414025444
711060316411442
oct1505613767604
9352212266241
10112444043140
1143761804980
1219961348284
13a7ac966790
145629a29b92
152dd196d7ca
hex1a2e2fef84

112444043140 has 96 divisors (see below), whose sum is σ = 278141423616. Its totient is φ = 37644541440.

The previous prime is 112444043111. The next prime is 112444043183. The reversal of 112444043140 is 41340444211.

It is a junction number, because it is equal to n+sod(n) for n = 112444043099 and 112444043108.

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, 1044054 + ... + 1146706.

It is an arithmetic number, because the mean of its divisors is an integer number (2897306496).

Almost surely, 2112444043140 is an apocalyptic number.

112444043140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112444043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139070711808).

112444043140 is an abundant number, since it is smaller than the sum of its proper divisors (165697380476).

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

112444043140 is a wasteful number, since it uses less digits than its factorization.

112444043140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103069 (or 103067 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 112444043140 its reverse (41340444211), we get a palindrome (153784487351).

The spelling of 112444043140 in words is "one hundred twelve billion, four hundred forty-four million, forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 383 572 715 766 1430 1532 1915 2860 3830 4213 4979 7660 8426 9958 16852 19916 21065 24895 42130 49790 54769 84260 99580 102653 109538 205306 219076 273845 410612 513265 547690 1026530 1095380 1129183 1334489 2053060 2258366 2668978 4516732 5337956 5645915 6672445 11291830 13344890 14679379 22583660 26689780 29358758 39316099 58717516 73396895 78632198 146793790 157264396 196580495 293587580 393160990 432477089 511109287 786321980 864954178 1022218574 1729908356 2044437148 2162385445 2555546435 4324770890 5111092870 5622202157 8649541780 10222185740 11244404314 22488808628 28111010785 56222021570 112444043140