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114044105740 = 22523537016673
BaseRepresentation
bin110101000110110001…
…1101111010000001100
3101220100221002211112011
41222031203233100030
53332030242340430
6124220252551004
711145055622125
oct1521543572014
9356327084464
10114044105740
1144402a19664
121a129182464
13a9a62c1b96
14573c33904c
152e7718122a
hex1a8d8ef40c

114044105740 has 96 divisors (see below), whose sum is σ = 255021975936. Its totient is φ = 42743500800.

The previous prime is 114044105731. The next prime is 114044105741. The reversal of 114044105740 is 47501440411.

It is not an unprimeable number, because it can be changed into a prime (114044105741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17087044 + ... + 17093716.

It is an arithmetic number, because the mean of its divisors is an integer number (2656478916).

Almost surely, 2114044105740 is an apocalyptic number.

114044105740 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 114044105740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127510987968).

114044105740 is an abundant number, since it is smaller than the sum of its proper divisors (140977870196).

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

114044105740 is a wasteful number, since it uses less digits than its factorization.

114044105740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 114044105740 in words is "one hundred fourteen billion, forty-four million, one hundred five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 265 460 530 701 1060 1219 1402 2438 2804 3505 4876 6095 6673 7010 12190 13346 14020 16123 24380 26692 32246 33365 37153 64492 66730 74306 80615 133460 148612 153479 161230 185765 306958 322460 353669 371530 613916 707338 743060 767395 854519 1414676 1534790 1709038 1768345 3069580 3418076 3536690 4272595 4677773 7073380 8134387 8545190 9355546 16268774 17090380 18711092 23388865 32537548 40671935 46777730 81343870 93555460 107588779 162687740 215177558 247921969 430355116 495843938 537943895 991687876 1075887790 1239609845 2151775580 2479219690 4958439380 5702205287 11404410574 22808821148 28511026435 57022052870 114044105740