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23004351095040 = 283357221164381
BaseRepresentation
bin1010011101100000111100…
…01011001110000100000000
310000110012020210002022102000
411032300132023032010000
511003400402340020130
6120532015240424000
74563003160000200
oct516603613160400
9100405223068360
1023004351095040
11736a0aa51a927
1226b6492778000
13cab3bb3b2a93
145975b8d7c400
1529d5e15a3260
hex14ec1e2ce100

23004351095040 has 864 divisors, whose sum is σ = 95412949672320. Its totient is φ = 5233136025600.

The previous prime is 23004351095039. The next prime is 23004351095051. The reversal of 23004351095040 is 4059015340032.

23004351095040 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 43 + 5 + 109 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×230043510950402 (a number of 28 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 = 23004351094986 and 23004351095004.

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, 357283650 + ... + 357348030.

Almost surely, 223004351095040 is an apocalyptic number.

23004351095040 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 23004351095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47706474836160).

23004351095040 is an abundant number, since it is smaller than the sum of its proper divisors (72408598577280).

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

23004351095040 is a wasteful number, since it uses less digits than its factorization.

23004351095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64636 (or 64609 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 23004351095040 in words is "twenty-three trillion, four billion, three hundred fifty-one million, ninety-five thousand, forty".