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140672236320 = 253257112834483
BaseRepresentation
bin1000001100000010110…
…1111111101100100000
3111110002200122000121200
42003000231333230200
54301044043030240
6144342434121200
713106663164650
oct2030055775440
9443080560550
10140672236320
11547278a0250
122331aa20200
131035ac30275
146b46a1a360
1539d4c5c930
hex20c0b7fb20

140672236320 has 576 divisors, whose sum is σ = 600745227264. Its totient is φ = 29120808960.

The previous prime is 140672236307. The next prime is 140672236333. The reversal of 140672236320 is 23632276041.

140672236320 is a `hidden beast` number, since 1 + 40 + 67 + 2 + 236 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (140672236307) and next prime (140672236333).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31376799 + ... + 31381281.

It is an arithmetic number, because the mean of its divisors is an integer number (1042960464).

Almost surely, 2140672236320 is an apocalyptic number.

140672236320 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 140672236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300372613632).

140672236320 is an abundant number, since it is smaller than the sum of its proper divisors (460072990944).

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

140672236320 is a wasteful number, since it uses less digits than its factorization.

140672236320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 140672236320 in words is "one hundred forty billion, six hundred seventy-two million, two hundred thirty-six thousand, three hundred twenty".