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84008023231014 = 232127163367224947
BaseRepresentation
bin10011000110011110100100…
…011000100000101000100110
3102000110002101120200002102100
4103012132210120200220212
542002341412421343024
6454400430400152530
723460244062350511
oct2306364430405046
9360402346602370
1084008023231014
112484966a035a43
129509399008746
1337b4bcbc45a0c
1416a601d6c7d78
159aa394e7c7c9
hex4c67a4620a26

84008023231014 has 48 divisors (see below), whose sum is σ = 183452529881088. Its totient is φ = 27781887346416.

The previous prime is 84008023230949. The next prime is 84008023231021. The reversal of 84008023231014 is 41013232080048.

It is a happy number.

84008023231014 is a `hidden beast` number, since 8 + 400 + 8 + 0 + 2 + 3 + 231 + 0 + 14 = 666.

It is a super-2 number, since 2×840080232310142 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84008023231014.

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 23 ways as a sum of consecutive naturals, for example, 373344489 + ... + 373569435.

It is an arithmetic number, because the mean of its divisors is an integer number (3821927705856).

Almost surely, 284008023231014 is an apocalyptic number.

84008023231014 is an abundant number, since it is smaller than the sum of its proper divisors (99444506650074).

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

84008023231014 is a wasteful number, since it uses less digits than its factorization.

84008023231014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388449 (or 388446 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 84008023231014 in words is "eighty-four trillion, eight billion, twenty-three million, two hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 163367 224947 326734 449894 490101 674841 980202 1349682 1470303 2024523 2940606 4049046 20747609 28568269 41495218 57136538 62242827 85704807 124485654 171409614 186728481 257114421 373456962 514228842 36748916549 73497833098 110246749647 220493499294 330740248941 661480497882 4667112401723 9334224803446 14001337205169 28002674410338 42004011615507 84008023231014