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114335867007 = 338977361553
BaseRepresentation
bin110101001111011110…
…0101110000001111111
3101221010021002211202000
41222132330232001333
53333124440221012
6124305234233343
711155230556065
oct1523674560177
9357107084660
10114335867007
114454268617a
121a1aaa25853
13aa2189699b
145768da6035
152e92ab3ddc
hex1a9ef2e07f

114335867007 has 32 divisors (see below), whose sum is σ = 171514065600. Its totient is φ = 75268740096.

The previous prime is 114335866991. The next prime is 114335867021. The reversal of 114335867007 is 700768533411.

It is not a de Polignac number, because 114335867007 - 24 = 114335866991 is a prime.

It is a super-2 number, since 2×1143358670072 (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 (114335867027) 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 31 ways as a sum of consecutive naturals, for example, 1826743 + ... + 1888295.

It is an arithmetic number, because the mean of its divisors is an integer number (5359814550).

Almost surely, 2114335867007 is an apocalyptic number.

114335867007 is a deficient number, since it is larger than the sum of its proper divisors (57178198593).

114335867007 is an equidigital number, since it uses as much as digits as its factorization.

114335867007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62424 (or 62418 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 114335867007 in words is "one hundred fourteen billion, three hundred thirty-five million, eight hundred sixty-seven thousand, seven".

Divisors: 1 3 9 27 89 267 773 801 2319 2403 6957 20871 61553 68797 184659 206391 553977 619173 1661931 1857519 5478217 16434651 47580469 49303953 142741407 147911859 428224221 1284672663 4234661741 12703985223 38111955669 114335867007