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114285840126864 = 2437340136428949
BaseRepresentation
bin11001111111000100111110…
…111001110101001110010000
3112222122121201200212102111120
4121333010332321311032100
5104434424400033024424
61043022105023442240
733033610441516350
oct3177047671651620
9488577650772446
10114285840126864
113346239736486a
1210999440756380
134ba0154441b23
14203166d9b0b60
15d32c84bb8a79
hex67f13ee75390

114285840126864 has 40 divisors (see below), whose sum is σ = 337415337518400. Its totient is φ = 32653097179008.

The previous prime is 114285840126839. The next prime is 114285840126881. The reversal of 114285840126864 is 468621048582411.

It is a super-2 number, since 2×1142858401268642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114285840126798 and 114285840126807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170068214139 + ... + 170068214810.

It is an arithmetic number, because the mean of its divisors is an integer number (8435383437960).

Almost surely, 2114285840126864 is an apocalyptic number.

114285840126864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114285840126864 is an abundant number, since it is smaller than the sum of its proper divisors (223129497391536).

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

114285840126864 is a wasteful number, since it uses less digits than its factorization.

114285840126864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340136428967 (or 340136428961 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 60.

The spelling of 114285840126864 in words is "one hundred fourteen trillion, two hundred eighty-five billion, eight hundred forty million, one hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 340136428949 680272857898 1020409286847 1360545715796 2040818573694 2380955002643 2721091431592 4081637147388 4761910005286 5442182863184 7142865007929 8163274294776 9523820010572 14285730015858 16326548589552 19047640021144 28571460031716 38095280042288 57142920063432 114285840126864