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1400675552640 = 273357213127249
BaseRepresentation
bin10100011000011110110…
…001001100110110000000
311221220101111011102111000
4110120132301030312000
5140422040420141030
62551243402052000
7203124021520200
oct24303661146600
94856344142430
101400675552640
114a0028919a61
121a75634aa000
13a2110866770
144bb1621c400
152667c603860
hex1461ec4cd80

1400675552640 has 768 divisors, whose sum is σ = 6214584600000. Its totient is φ = 295524827136.

The previous prime is 1400675552609. The next prime is 1400675552669. The reversal of 1400675552640 is 462555760041.

1400675552640 is a `hidden beast` number, since 14 + 0 + 0 + 6 + 75 + 5 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10943736 + ... + 11070984.

Almost surely, 21400675552640 is an apocalyptic number.

1400675552640 is a gapful number since it is divisible by the number (10) 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 1400675552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107292300000).

1400675552640 is an abundant number, since it is smaller than the sum of its proper divisors (4813909047360).

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

1400675552640 is a wasteful number, since it uses less digits than its factorization.

1400675552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127304 (or 127279 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1400675552640 in words is "one trillion, four hundred billion, six hundred seventy-five million, five hundred fifty-two thousand, six hundred forty".