Search a number
-
+
140358795033600 = 2103252112132313
BaseRepresentation
bin11111111010011111010100…
…000111100111110000000000
3200101222011120202101201221100
4133322133110013213300000
5121344114303012033400
61214303535033454400
741364405533534523
oct3772372407476000
9611864522351840
10140358795033600
11407a4915717500
12138aa584571400
136041a15456600
14269358ac5cbba
1511360c3731100
hex7fa7d41e7c00

140358795033600 has 3564 divisors, whose sum is σ = 618088509345216. Its totient is φ = 30395768832000.

The previous prime is 140358795033599. The next prime is 140358795033623. The reversal of 140358795033600 is 6330597853041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

140358795033600 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 5 + 8 + 79 + 503 + 3 + 60 + 0 = 666.

140358795033600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4527703065585 + ... + 4527703065615.

Almost surely, 2140358795033600 is an apocalyptic number.

140358795033600 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 140358795033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309044254672608).

140358795033600 is an abundant number, since it is smaller than the sum of its proper divisors (477729714311616).

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

140358795033600 is a wasteful number, since it uses less digits than its factorization.

140358795033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 140358795033600 in words is "one hundred forty trillion, three hundred fifty-eight billion, seven hundred ninety-five million, thirty-three thousand, six hundred".