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114298412120016 = 24312719867943763
BaseRepresentation
bin11001111111010000101100…
…010000001011011111010000
3112222200211011212021211221120
4121333100230100023133100
5104440131122000320031
61043031544325122240
733034534126634535
oct3177205420133720
9488624155254846
10114298412120016
1133467758985353
121099b96ab59380
134ba13a8c47527
142032103564d8c
15d3326d773a96
hex67f42c40b7d0

114298412120016 has 80 divisors (see below), whose sum is σ = 297611160428544. Its totient is φ = 37797532198272.

The previous prime is 114298412119973. The next prime is 114298412120017. The reversal of 114298412120016 is 610021214892411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114298412120016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114298412120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120637351 + ... + 121581113.

Almost surely, 2114298412120016 is an apocalyptic number.

114298412120016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114298412120016 is an abundant number, since it is smaller than the sum of its proper divisors (183312748308528).

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

114298412120016 is a wasteful number, since it uses less digits than its factorization.

114298412120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963768 (or 963762 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 114298412120016 in words is "one hundred fourteen trillion, two hundred ninety-eight billion, four hundred twelve million, one hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 19867 39734 59601 79468 119202 158936 238404 317872 476808 943763 953616 1887526 2523109 2831289 3775052 5046218 5662578 7550104 7569327 10092436 11325156 15100208 15138654 20184872 22650312 30277308 40369744 45300624 60554616 119857901 121109232 239715802 359573703 479431604 719147406 958863208 1438294812 1917726416 2876589624 5753179248 18749739521 37499479042 56249218563 74998958084 112498437126 149997916168 224996874252 299995832336 449993748504 899987497008 2381216919167 4762433838334 7143650757501 9524867676668 14287301515002 19049735353336 28574603030004 38099470706672 57149206060008 114298412120016