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314221012002024 = 23317973142693669
BaseRepresentation
bin100011101110010000100011…
…1110011010010010011101000
31112012120020100120221112011020
41013130201013303102103220
5312141144113033031044
63032143050133332440
7123120501413150601
oct10734410763222350
91465506316845136
10314221012002024
1191136423606436
122b2aa179197120
1310643bb690290a
145784541820da8
15264d9226eea19
hex11dc847cd24e8

314221012002024 has 32 divisors (see below), whose sum is σ = 789941091636000. Its totient is φ = 104155195783232.

The previous prime is 314221012002011. The next prime is 314221012002047. The reversal of 314221012002024 is 420200210122413.

It is a super-2 number, since 2×3142210120020242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 314221012001985 and 314221012002003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36571342539 + ... + 36571351130.

It is an arithmetic number, because the mean of its divisors is an integer number (24685659113625).

Almost surely, 2314221012002024 is an apocalyptic number.

It is an amenable number.

314221012002024 is an abundant number, since it is smaller than the sum of its proper divisors (475720079633976).

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

314221012002024 is a wasteful number, since it uses less digits than its factorization.

314221012002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73142693857 (or 73142693853 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 314221012002024 its reverse (420200210122413), we get a palindrome (734421222124437).

The spelling of 314221012002024 in words is "three hundred fourteen trillion, two hundred twenty-one billion, twelve million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 179 358 537 716 1074 1432 2148 4296 73142693669 146285387338 219428081007 292570774676 438856162014 585141549352 877712324028 1755424648056 13092542166751 26185084333502 39277626500253 52370168667004 78555253000506 104740337334008 157110506001012 314221012002024