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140089877136 = 2437111779271
BaseRepresentation
bin1000001001111000000…
…0011110001010010000
3111101121002211010000000
42002132000132022100
54243401002032021
6144204552130000
713056362210526
oct2023600361220
9441532733000
10140089877136
11544590a1170
1223197996900
13102973a0031
146acd546316
15399da76b26
hex209e01e290

140089877136 has 640 divisors, whose sum is σ = 477912268800. Its totient is φ = 39303014400.

The previous prime is 140089877099. The next prime is 140089877159. The reversal of 140089877136 is 631778980041.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 516936681 + ... + 516936951.

It is an arithmetic number, because the mean of its divisors is an integer number (746737920).

Almost surely, 2140089877136 is an apocalyptic number.

140089877136 is a gapful number since it is divisible by the number (16) 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 140089877136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238956134400).

140089877136 is an abundant number, since it is smaller than the sum of its proper divisors (337822391664).

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

140089877136 is a wasteful number, since it uses less digits than its factorization.

140089877136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 140089877136 in words is "one hundred forty billion, eighty-nine million, eight hundred seventy-seven thousand, one hundred thirty-six".