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140125336431300 = 22325211173737096067
BaseRepresentation
bin11111110111000101111000…
…111001101110101011000100
3200101010211222121211221122100
4133313011320321232223010
5121331303142111300200
61214004405121432100
741341502315261163
oct3767057071565304
9611124877757570
10140125336431300
11407149043a0170
121387128b79b630
1360259bb36b80c
14268616126d3da
15112eeacc01d00
hex7f7178e6eac4

140125336431300 has 864 divisors, whose sum is σ = 521266620551040. Its totient is φ = 31093947187200.

The previous prime is 140125336431277. The next prime is 140125336431307. The reversal of 140125336431300 is 3134633521041.

140125336431300 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 2 + 5 + 3 + 3 + 643 + 1 + 3 + 0 + 0 = 666.

It is a super-2 number, since 2×1401253364313002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (140125336431307) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23096310867 + ... + 23096316933.

It is an arithmetic number, because the mean of its divisors is an integer number (603317847860).

Almost surely, 2140125336431300 is an apocalyptic number.

140125336431300 is a gapful number since it is divisible by the number (10) 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 140125336431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260633310275520).

140125336431300 is an abundant number, since it is smaller than the sum of its proper divisors (381141284119740).

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

140125336431300 is a wasteful number, since it uses less digits than its factorization.

140125336431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 140125336431300 its reverse (3134633521041), we get a palindrome (143259969952341).

The spelling of 140125336431300 in words is "one hundred forty trillion, one hundred twenty-five billion, three hundred thirty-six million, four hundred thirty-one thousand, three hundred".