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139940444772 = 22352361891153
BaseRepresentation
bin1000001001010100011…
…0011011101001100100
3111101012200122011100000
42002111012123221210
54243044223213042
6144142053221300
713052566103622
oct2022506335144
9441180564300
10139940444772
1154391807447
1223155931830
131027243c60b
146ab7768512
1539908aa74c
hex209519ba64

139940444772 has 288 divisors, whose sum is σ = 393777296640. Its totient is φ = 43356487680.

The previous prime is 139940444747. The next prime is 139940444779. The reversal of 139940444772 is 277444049931.

It is a happy number.

139940444772 is a `hidden beast` number, since 1 + 3 + 99 + 40 + 4 + 447 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (139940444779) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121370148 + ... + 121371300.

It is an arithmetic number, because the mean of its divisors is an integer number (1367282280).

Almost surely, 2139940444772 is an apocalyptic number.

139940444772 is a gapful number since it is divisible by the number (12) 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 139940444772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196888648320).

139940444772 is an abundant number, since it is smaller than the sum of its proper divisors (253836851868).

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

139940444772 is a wasteful number, since it uses less digits than its factorization.

139940444772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 139940444772 in words is "one hundred thirty-nine billion, nine hundred forty million, four hundred forty-four thousand, seven hundred seventy-two".