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114015120255 = 32531547114939
BaseRepresentation
bin110101000101111010…
…1001010101101111111
3101220021220120012220200
41222023311022231333
53332000332322010
6124213335414543
711144254350261
oct1521365125577
9356256505820
10114015120255
1144398621413
121a11b524453
13a9a02b38ca
145738551b31
152e74857cc0
hex1a8bd4ab7f

114015120255 has 48 divisors (see below), whose sum is σ = 204052193280. Its totient is φ = 58831819200.

The previous prime is 114015120251. The next prime is 114015120287. The reversal of 114015120255 is 552021510411.

It is a happy number.

114015120255 is a `hidden beast` number, since 1 + 1 + 401 + 5 + 1 + 2 + 0 + 255 = 666.

It is not a de Polignac number, because 114015120255 - 22 = 114015120251 is a prime.

It is a super-2 number, since 2×1140151202552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114015120251) 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 47 ways as a sum of consecutive naturals, for example, 7624576 + ... + 7639514.

It is an arithmetic number, because the mean of its divisors is an integer number (4251087360).

Almost surely, 2114015120255 is an apocalyptic number.

114015120255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114015120255 is a deficient number, since it is larger than the sum of its proper divisors (90037073025).

114015120255 is a wasteful number, since it uses less digits than its factorization.

114015120255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20452 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 114015120255 its reverse (552021510411), we get a palindrome (666036630666).

It can be divided in two parts, 114015 and 120255, that added together give a triangular number (234270 = T684).

The spelling of 114015120255 in words is "one hundred fourteen billion, fifteen million, one hundred twenty thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 5471 14939 16413 27355 44817 49239 74695 82065 134451 169601 224085 246195 463109 508803 672255 848005 1389327 1526409 2315545 2544015 4167981 6946635 7632045 20839905 81731269 245193807 408656345 735581421 1225969035 2533669339 3677907105 7601008017 12668346695 22803024051 38005040085 114015120255