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139977294912 = 26347213192397
BaseRepresentation
bin1000001001011101001…
…1000000010001000000
3111101022020222100020000
42002113103000101000
54243133141414122
6144145451120000
713053524242500
oct2022723002100
9441266870200
10139977294912
1154400596504
1223166143000
1310279c72530
146abc5dba00
153993c390ac
hex20974c0440

139977294912 has 1680 divisors, whose sum is σ = 576845216640. Its totient is φ = 33108590592.

The previous prime is 139977294833. The next prime is 139977294913. The reversal of 139977294912 is 219492779931.

139977294912 is a `hidden beast` number, since 1 + 39 + 97 + 7 + 29 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 139977294912.

It is not an unprimeable number, because it can be changed into a prime (139977294913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1443064848 + ... + 1443064944.

It is an arithmetic number, because the mean of its divisors is an integer number (343360248).

Almost surely, 2139977294912 is an apocalyptic number.

139977294912 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 139977294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288422608320).

139977294912 is an abundant number, since it is smaller than the sum of its proper divisors (436867921728).

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

139977294912 is a wasteful number, since it uses less digits than its factorization.

139977294912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 63.

The spelling of 139977294912 in words is "one hundred thirty-nine billion, nine hundred seventy-seven million, two hundred ninety-four thousand, nine hundred twelve".