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2014889403024 = 24322323721392
BaseRepresentation
bin11101010100100000110…
…001000110001010010000
321010121210002212220010100
4131110200301012022100
5231002443141344044
64141343304332400
7265366560225231
oct35244061061220
97117702786110
102014889403024
117075675a3743
122865ba474100
131180071c9414
146d742125088
153762a247869
hex1d520c46290

2014889403024 has 405 divisors, whose sum is σ = 6102242011593. Its totient is φ = 620568698112.

The previous prime is 2014889403019. The next prime is 2014889403041. The reversal of 2014889403024 is 4203049884102.

The square root of 2014889403024 is 1419468.

It is a perfect power (a square), and thus also a powerful number.

2014889403024 is a `hidden beast` number, since 2 + 0 + 148 + 89 + 403 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1802950707600 + 211938695424 = 1342740^2 + 460368^2 .

It is a super-2 number, since 2×20148894030242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14495607147 + ... + 14495607285.

Almost surely, 22014889403024 is an apocalyptic number.

2014889403024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2014889403024 is the 1419468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014889403024

2014889403024 is an abundant number, since it is smaller than the sum of its proper divisors (4087352608569).

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

2014889403024 is a wasteful number, since it uses less digits than its factorization.

2014889403024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2014889403024 in words is "two trillion, fourteen billion, eight hundred eighty-nine million, four hundred three thousand, twenty-four".