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139405242240 = 27335112611093
BaseRepresentation
bin1000000111010100110…
…0110010111110000000
3111022211101120001111000
42001311030302332000
54241000220222430
6144013014052000
713033410002445
oct2016514627600
9438741501430
10139405242240
1154137696900
122302664a000
13101b85b0524
146a6664b9cc
15395d8dbe60
hex2075332f80

139405242240 has 768 divisors, whose sum is σ = 552092788800. Its totient is φ = 33210777600.

The previous prime is 139405242227. The next prime is 139405242241. The reversal of 139405242240 is 42242504931.

It is a happy number.

139405242240 is a `hidden beast` number, since 1 + 3 + 9 + 405 + 2 + 4 + 2 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 139405242195 and 139405242204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139405242241) 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, 127543134 + ... + 127544226.

Almost surely, 2139405242240 is an apocalyptic number.

139405242240 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 139405242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276046394400).

139405242240 is an abundant number, since it is smaller than the sum of its proper divisors (412687546560).

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

139405242240 is a wasteful number, since it uses less digits than its factorization.

139405242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 139405242240 in words is "one hundred thirty-nine billion, four hundred five million, two hundred forty-two thousand, two hundred forty".