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445465422534000 = 243531138317622653
BaseRepresentation
bin110010101001001100000000…
…0010001010001010101110000
32011102021002010012220200212010
41211102120000101101111300
5431342001141132042000
64215231553500002520
7162554546305021131
oct14522300021212560
92142232105820763
10445465422534000
11119a36908840740
1241b66224830440
1316174294504a8b
147c008da371c88
1536778a0784d50
hex1952600451570

445465422534000 has 320 divisors, whose sum is σ = 1570833188241408. Its totient is φ = 107709649024000.

The previous prime is 445465422533977. The next prime is 445465422534007. The reversal of 445465422534000 is 435224564544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445465422534007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16466674 + ... + 34089326.

Almost surely, 2445465422534000 is an apocalyptic number.

445465422534000 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 445465422534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785416594120704).

445465422534000 is an abundant number, since it is smaller than the sum of its proper divisors (1125367765707408).

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

445465422534000 is a wasteful number, since it uses less digits than its factorization.

445465422534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17623073 (or 17623057 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 48.

The spelling of 445465422534000 in words is "four hundred forty-five trillion, four hundred sixty-five billion, four hundred twenty-two million, five hundred thirty-four thousand".