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1401353510544 = 243413595572531
BaseRepresentation
bin10100011001000111001…
…011011001111010010000
311221222010201212020220000
4110121013023121322100
5140424432444314134
62551434541050000
7203146563205641
oct24310713317220
94858121766800
101401353510544
114a0346583849
121a7712556900
13a21bb1590a0
144bb7c2996c8
15266bbdbee99
hex146472d9e90

1401353510544 has 400 divisors, whose sum is σ = 4451683199040. Its totient is φ = 422949288960.

The previous prime is 1401353510521. The next prime is 1401353510591. The reversal of 1401353510544 is 4450153531041.

1401353510544 is a `hidden beast` number, since 1 + 4 + 0 + 13 + 53 + 51 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1401353510499 and 1401353510508.

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 79 ways as a sum of consecutive naturals, for example, 553674559 + ... + 553677089.

Almost surely, 21401353510544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401353510544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225841599520).

1401353510544 is an abundant number, since it is smaller than the sum of its proper divisors (3050329688496).

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

1401353510544 is a wasteful number, since it uses less digits than its factorization.

1401353510544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1401353510544 in words is "one trillion, four hundred one billion, three hundred fifty-three million, five hundred ten thousand, five hundred forty-four".