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139922336701224 = 233371121914004207
BaseRepresentation
bin11111110100001000110101…
…001011001101101100101000
3200100102110000020001012002000
4133310020311023031230220
5121314441421143414344
61213331233433011000
741321024641114350
oct3764106513155450
9610373006035060
10139922336701224
1140646803333400
1213839a77553a60
13600c809730c3c
14267a3c4a15b60
151129a7b23da69
hex7f42352cdb28

139922336701224 has 384 divisors, whose sum is σ = 490806986342400. Its totient is φ = 36153175132800.

The previous prime is 139922336701211. The next prime is 139922336701247. The reversal of 139922336701224 is 422107633229931.

139922336701224 is a `hidden beast` number, since 1 + 39 + 9 + 2 + 23 + 367 + 0 + 1 + 224 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32941729 + ... + 36945935.

It is an arithmetic number, because the mean of its divisors is an integer number (1278143193600).

Almost surely, 2139922336701224 is an apocalyptic number.

139922336701224 is a gapful number since it is divisible by the number (14) 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 139922336701224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245403493171200).

139922336701224 is an abundant number, since it is smaller than the sum of its proper divisors (350884649641176).

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

139922336701224 is a wasteful number, since it uses less digits than its factorization.

139922336701224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004442 (or 4004421 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 139922336701224 in words is "one hundred thirty-nine trillion, nine hundred twenty-two billion, three hundred thirty-six million, seven hundred one thousand, two hundred twenty-four".