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44020478113920 = 27325711238535059
BaseRepresentation
bin10100000001001010100001…
…11101011111100010000000
312202212022112210210200111100
422000211100331133202000
521232212414344121140
6233342421203214400
712162242325124650
oct1200452075374200
9182768483720440
1044020478113920
1113031a86313830
124b2b569077400
131b74161b2c169
14ac28613da360
155151188d6530
hex280950f5f880

44020478113920 has 1536 divisors, whose sum is σ = 198027564134400. Its totient is φ = 8737427128320.

The previous prime is 44020478113889. The next prime is 44020478113933. The reversal of 44020478113920 is 2931187402044.

44020478113920 is a `hidden beast` number, since 4 + 4 + 0 + 20 + 478 + 1 + 139 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8701416351 + ... + 8701421409.

It is an arithmetic number, because the mean of its divisors is an integer number (128924195400).

Almost surely, 244020478113920 is an apocalyptic number.

44020478113920 is a gapful number since it is divisible by the number (40) 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 44020478113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99013782067200).

44020478113920 is an abundant number, since it is smaller than the sum of its proper divisors (154007086020480).

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

44020478113920 is a wasteful number, since it uses less digits than its factorization.

44020478113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 44020478113920 in words is "forty-four trillion, twenty billion, four hundred seventy-eight million, one hundred thirteen thousand, nine hundred twenty".