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1402287052992 = 263723199257887
BaseRepresentation
bin10100011001111110110…
…100100101100011000000
311222001112210111010101020
4110121332310211203000
5140433340441143432
62552111330105440
7203211660166020
oct24317664454300
94861483433336
101402287052992
114a0785536031
121a793311b280
13a2309697c77
144bc2a267a80
1526723d2522c
hex1467ed258c0

1402287052992 has 448 divisors, whose sum is σ = 4469177548800. Its totient is φ = 379396030464.

The previous prime is 1402287052979. The next prime is 1402287053017. The reversal of 1402287052992 is 2992507822041.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1580931973 + ... + 1580932859.

Almost surely, 21402287052992 is an apocalyptic number.

1402287052992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402287052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234588774400).

1402287052992 is an abundant number, since it is smaller than the sum of its proper divisors (3066890495808).

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

1402287052992 is a wasteful number, since it uses less digits than its factorization.

1402287052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1402287052992 in words is "one trillion, four hundred two billion, two hundred eighty-seven million, fifty-two thousand, nine hundred ninety-two".