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629444055421440 = 29325753241305551
BaseRepresentation
bin1000111100011110011101110…
…1010101000101001000000000
310001112200021010110210011120200
42033013213131111011020000
51130000302411141441230
610110414335050005200
7246403555322003310
oct21707473525051000
93045607113704520
10629444055421440
111726187a7792706
125a71a584716800
132102b4205c858c
14b16137d3a1440
154cb843eb82160
hex23c79dd545200

629444055421440 has 960 divisors, whose sum is σ = 2548909875612672. Its totient is φ = 140572164096000.

The previous prime is 629444055421409. The next prime is 629444055421463. The reversal of 629444055421440 is 44124550444926.

629444055421440 is a `hidden beast` number, since 6 + 2 + 9 + 4 + 4 + 40 + 5 + 542 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2059876665 + ... + 2060182215.

Almost surely, 2629444055421440 is an apocalyptic number.

629444055421440 is a gapful number since it is divisible by the number (60) 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 629444055421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274454937806336).

629444055421440 is an abundant number, since it is smaller than the sum of its proper divisors (1919465820191232).

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

629444055421440 is a wasteful number, since it uses less digits than its factorization.

629444055421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305881 (or 305862 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 629444055421440 in words is "six hundred twenty-nine trillion, four hundred forty-four billion, fifty-five million, four hundred twenty-one thousand, four hundred forty".