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140812123924064 = 251923891314911759
BaseRepresentation
bin100000000001000101100000…
…101000000110011001100000
3200110120111201000200102210102
4200001011200220012121200
5121424031212211032224
61215252110253121532
741442224461531355
oct4001054050063140
9613514630612712
10140812123924064
114095a0a4a9959a
12139623bb4892a8
1360756ac3c0928
1426ab4b38cc62c
151142ca6d7c4ae
hex801160a06660

140812123924064 has 384 divisors, whose sum is σ = 311082799104000. Its totient is φ = 62439029452800.

The previous prime is 140812123924051. The next prime is 140812123924103. The reversal of 140812123924064 is 460429321218041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80052372017 + ... + 80052373775.

It is an arithmetic number, because the mean of its divisors is an integer number (810111456000).

Almost surely, 2140812123924064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140812123924064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155541399552000).

140812123924064 is an abundant number, since it is smaller than the sum of its proper divisors (170270675179936).

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

140812123924064 is a wasteful number, since it uses less digits than its factorization.

140812123924064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 140812123924064 in words is "one hundred forty trillion, eight hundred twelve billion, one hundred twenty-three million, nine hundred twenty-four thousand, sixty-four".