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23140141130304 = 2632118344002033
BaseRepresentation
bin1010100001011101110111…
…11001000110001001000000
310000221011202012222211020100
411100232323321012021000
511013112002112132204
6121114233432242400
74605551161153632
oct520567371061100
9100834665884210
1023140141130304
117411751451170
12271886a540400
13cbb14b9ba583
1459ddbb3dca52
152a1ddc8c7a39
hex150bbbe46240

23140141130304 has 168 divisors, whose sum is σ = 73228536999072. Its totient is φ = 6927679918080.

The previous prime is 23140141130291. The next prime is 23140141130347. The reversal of 23140141130304 is 40303114104132.

23140141130304 is a `hidden beast` number, since 2 + 314 + 0 + 1 + 4 + 11 + 30 + 304 = 666.

It is a super-3 number, since 3×231401411303043 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21475129 + ... + 22526904.

It is an arithmetic number, because the mean of its divisors is an integer number (435884148804).

Almost surely, 223140141130304 is an apocalyptic number.

23140141130304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23140141130304 is an abundant number, since it is smaller than the sum of its proper divisors (50088395868768).

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

23140141130304 is a wasteful number, since it uses less digits than its factorization.

23140141130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44002145 (or 44002132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23140141130304 its reverse (40303114104132), we get a palindrome (63443255234436).

The spelling of 23140141130304 in words is "twenty-three trillion, one hundred forty billion, one hundred forty-one million, one hundred thirty thousand, three hundred four".