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452240139012480 = 27335713222122827
BaseRepresentation
bin110011011010011110101110…
…0110101101100100110000000
32012022020201211212012000112000
41212310331130311230212000
5433234000301041344410
64241500130213504000
7164154162142654530
oct14664753465544600
92168221755160460
10452240139012480
11121108a69661955
124287b203642000
13165460a6629500
147d9677a6194c0
153743c0ced5dc0
hex19b4f5cd6c980

452240139012480 has 768 divisors, whose sum is σ = 1982134595750400. Its totient is φ = 95417695346688.

The previous prime is 452240139012461. The next prime is 452240139012593. The reversal of 452240139012480 is 84210931042254.

452240139012480 is a `hidden beast` number, since 4 + 5 + 2 + 24 + 0 + 139 + 0 + 12 + 480 = 666.

It is a super-2 number, since 2×4522401390124802 (a number of 30 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 9380827 + ... + 31503653.

It is an arithmetic number, because the mean of its divisors is an integer number (2580904421550).

Almost surely, 2452240139012480 is an apocalyptic number.

452240139012480 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 452240139012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991067297875200).

452240139012480 is an abundant number, since it is smaller than the sum of its proper divisors (1529894456737920).

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

452240139012480 is a wasteful number, since it uses less digits than its factorization.

452240139012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22122888 (or 22122857 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 452240139012480 in words is "four hundred fifty-two trillion, two hundred forty billion, one hundred thirty-nine million, twelve thousand, four hundred eighty".