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114687314520 = 23353081731013
BaseRepresentation
bin110101011001111100…
…1011000101001011000
3101222000202102020002120
41222303321120221120
53334334423031040
6124404151101240
711200026042312
oct1526371305130
9358022366076
10114687314520
1144702aa9969
121a288671820
13aa796389ac
14579d92c7b2
152eb38867d0
hex1ab3e58a58

114687314520 has 64 divisors (see below), whose sum is σ = 344084202720. Its totient is φ = 30581305344.

The previous prime is 114687314461. The next prime is 114687314611. The reversal of 114687314520 is 25413786411.

It is a super-2 number, since 2×1146873145202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3682534 + ... + 3713546.

Almost surely, 2114687314520 is an apocalyptic number.

114687314520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114687314520 is an abundant number, since it is smaller than the sum of its proper divisors (229396888200).

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

114687314520 is a wasteful number, since it uses less digits than its factorization.

114687314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61844 (or 61840 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 114687314520 in words is "one hundred fourteen billion, six hundred eighty-seven million, three hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 30817 31013 61634 62026 92451 93039 123268 124052 154085 155065 184902 186078 246536 248104 308170 310130 369804 372156 462255 465195 616340 620260 739608 744312 924510 930390 1232680 1240520 1849020 1860780 3698040 3721560 955727621 1911455242 2867182863 3822910484 4778638105 5734365726 7645820968 9557276210 11468731452 14335914315 19114552420 22937462904 28671828630 38229104840 57343657260 114687314520