Search a number
-
+
140238373137408 = 2103571319714591
BaseRepresentation
bin11111111000101111001010…
…011010100010110000000000
3200101112122202100100120200000
4133320233022122202300000
5121340131142010344113
61214132341430400000
741352613422363210
oct3770571232426000
9611478670316600
10140238373137408
114075883a6a1547
121388b177500000
136033563a32430
14268b805892240
151132dc66de373
hex7f8bca6a2c00

140238373137408 has 2112 divisors, whose sum is σ = 551825315758080. Its totient is φ = 34538279731200.

The previous prime is 140238373137403. The next prime is 140238373137431. The reversal of 140238373137408 is 804731373832041.

140238373137408 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 38 + 3 + 73 + 137 + 408 = 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 (140238373137403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30546365193 + ... + 30546369783.

Almost surely, 2140238373137408 is an apocalyptic number.

140238373137408 is a gapful number since it is divisible by the number (18) 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 140238373137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275912657879040).

140238373137408 is an abundant number, since it is smaller than the sum of its proper divisors (411586942620672).

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

140238373137408 is a wasteful number, since it uses less digits than its factorization.

140238373137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 140238373137408 in words is "one hundred forty trillion, two hundred thirty-eight billion, three hundred seventy-three million, one hundred thirty-seven thousand, four hundred eight".