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139164426240 = 2133571731307
BaseRepresentation
bin1000000110011011011…
…0001010000000000000
3111022012121102100000220
42001212312022000000
54240002043114430
6143533052343040
713024424051130
oct2014666120000
9438177370026
10139164426240
1154023766214
1222b79a74a80
131017a735158
146a42682ac0
1539476be110
hex2066d8a000

139164426240 has 896 divisors, whose sum is σ = 558043250688. Its totient is φ = 28877783040.

The previous prime is 139164426197. The next prime is 139164426241. The reversal of 139164426240 is 42624461931.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 139164426192 and 139164426201.

It is not an unprimeable number, because it can be changed into a prime (139164426241) 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 63 ways as a sum of consecutive naturals, for example, 453304167 + ... + 453304473.

It is an arithmetic number, because the mean of its divisors is an integer number (622816128).

Almost surely, 2139164426240 is an apocalyptic number.

139164426240 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 139164426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279021625344).

139164426240 is an abundant number, since it is smaller than the sum of its proper divisors (418878824448).

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

139164426240 is a wasteful number, since it uses less digits than its factorization.

139164426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 139164426240 in words is "one hundred thirty-nine billion, one hundred sixty-four million, four hundred twenty-six thousand, two hundred forty".