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110714037034140 = 223252412552190803
BaseRepresentation
bin11001001011000110011110…
…110110010101110010011100
3112112000011021121012101201100
4121023012132312111302130
5104002414321440043030
61031245154303313100
732214553022255061
oct3113063666256234
9475004247171640
10110714037034140
1132305617662351
1210501156bab790
1349a139a915b57
141d4a8335dcc68
15cbedd5cb6360
hex64b19ed95c9c

110714037034140 has 72 divisors (see below), whose sum is σ = 337226075314128. Its totient is φ = 29401238039040.

The previous prime is 110714037034103. The next prime is 110714037034169. The reversal of 110714037034140 is 41430730417011.

110714037034140 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 140 + 370 + 3 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110714037034095 and 110714037034104.

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, 1276052022 + ... + 1276138781.

It is an arithmetic number, because the mean of its divisors is an integer number (4683695490474).

Almost surely, 2110714037034140 is an apocalyptic number.

110714037034140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110714037034140 is an abundant number, since it is smaller than the sum of its proper divisors (226512038279988).

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

110714037034140 is a wasteful number, since it uses less digits than its factorization.

110714037034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552191059 (or 2552191054 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 110714037034140 in words is "one hundred ten trillion, seven hundred fourteen billion, thirty-seven million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 43380 2552190803 5104381606 7656572409 10208763212 12760954015 15313144818 22969717227 25521908030 30626289636 38282862045 45939434454 51043816060 76565724090 91878868908 114848586135 153131448180 229697172270 459394344540 615077983523 1230155967046 1845233950569 2460311934092 3075389917615 3690467901138 5535701851707 6150779835230 7380935802276 9226169752845 11071403703414 12301559670460 18452339505690 22142807406828 27678509258535 36904679011380 55357018517070 110714037034140