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114188403696 = 24319437141011
BaseRepresentation
bin110101001011000101…
…0001100001111110000
3101220201222121221002220
41222112022030033300
53332324212404241
6124242445441040
711151460262643
oct1522612141760
9356658557086
10114188403696
1144477416874
121a169570180
13a9ca1755a3
14575357ba5a
152e84b86166
hex1a9628c3f0

114188403696 has 160 divisors (see below), whose sum is σ = 322216519680. Its totient is φ = 34723987200.

The previous prime is 114188403689. The next prime is 114188403713. The reversal of 114188403696 is 696304881411.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2763831 + ... + 2804841.

It is an arithmetic number, because the mean of its divisors is an integer number (2013853248).

Almost surely, 2114188403696 is an apocalyptic number.

114188403696 is a gapful number since it is divisible by the number (16) 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 114188403696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161108259840).

114188403696 is an abundant number, since it is smaller than the sum of its proper divisors (208028115984).

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

114188403696 is a wasteful number, since it uses less digits than its factorization.

114188403696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41155 (or 41149 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 114188403696 in words is "one hundred fourteen billion, one hundred eighty-eight million, four hundred three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 71 76 86 114 129 142 152 172 213 228 258 284 304 344 426 456 516 568 688 817 852 912 1032 1136 1349 1634 1704 2064 2451 2698 3053 3268 3408 4047 4902 5396 6106 6536 8094 9159 9804 10792 12212 13072 16188 18318 19608 21584 24424 32376 36636 39216 41011 48848 58007 64752 73272 82022 116014 123033 146544 164044 174021 232028 246066 328088 348042 464056 492132 656176 696084 779209 928112 984264 1392168 1558418 1763473 1968528 2337627 2784336 2911781 3116836 3526946 4675254 5290419 5823562 6233672 7053892 8735343 9350508 10580838 11647124 12467344 14107784 17470686 18701016 21161676 23294248 28215568 33505987 34941372 37402032 42323352 46588496 55323839 67011974 69882744 84646704 100517961 110647678 125206583 134023948 139765488 165971517 201035922 221295356 250413166 268047896 331943034 375619749 402071844 442590712 500826332 536095792 663886068 751239498 804143688 885181424 1001652664 1327772136 1502478996 1608287376 2003305328 2378925077 2655544272 3004957992 4757850154 6009915984 7136775231 9515700308 14273550462 19031400616 28547100924 38062801232 57094201848 114188403696