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42955453440 = 210345103577
BaseRepresentation
bin101000000000010110…
…000011010000000000
311002212122021010110000
4220000112003100000
51200433044002230
631422232240000
73050322221064
oct500026032000
9132778233400
1042955453440
1117243262a49
1283a9840000
13408746a993
142116cd9aa4
1511b61cbb60
hexa00583400

42955453440 has 220 divisors, whose sum is σ = 153929544516. Its totient is φ = 11454676992.

The previous prime is 42955453417. The next prime is 42955453451. The reversal of 42955453440 is 4435455924.

42955453440 is a `hidden beast` number, since 4 + 2 + 9 + 554 + 53 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27043144704 + 15912308736 = 164448^2 + 126144^2 .

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 362932 + ... + 466508.

Almost surely, 242955453440 is an apocalyptic number.

42955453440 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 42955453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76964772258).

42955453440 is an abundant number, since it is smaller than the sum of its proper divisors (110974091076).

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

42955453440 is a wasteful number, since it uses less digits than its factorization.

42955453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103614 (or 103587 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 42955453440 in words is "forty-two billion, nine hundred fifty-five million, four hundred fifty-three thousand, four hundred forty".