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21027141570240 = 2633513375059661
BaseRepresentation
bin1001100011111110000110…
…10011011100111011000000
32202110011201122112120001000
410301333003103130323000
510224002041220221430
6112415422510412000
74300106112224211
oct461770323347300
982404648476030
1021027141570240
116777619270413
12243724b201000
13b96b0a69a0c0
14529a0d239408
15266e6e2e8e60
hex131fc34dcec0

21027141570240 has 448 divisors, whose sum is σ = 82044240808320. Its totient is φ = 5036021268480.

The previous prime is 21027141570199. The next prime is 21027141570329. The reversal of 21027141570240 is 4207514172012.

21027141570240 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 7 + 1 + 41 + 570 + 2 + 40 = 666.

It is a super-2 number, since 2×210271415702402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21027141570195 and 21027141570204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1626010 + ... + 6685670.

It is an arithmetic number, because the mean of its divisors is an integer number (183134466090).

Almost surely, 221027141570240 is an apocalyptic number.

21027141570240 is a gapful number since it is divisible by the number (20) 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 21027141570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41022120404160).

21027141570240 is an abundant number, since it is smaller than the sum of its proper divisors (61017099238080).

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

21027141570240 is a wasteful number, since it uses less digits than its factorization.

21027141570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059737 (or 5059721 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 21027141570240 in words is "twenty-one trillion, twenty-seven billion, one hundred forty-one million, five hundred seventy thousand, two hundred forty".