Search a number
-
+
140238649152 = 26327229315527
BaseRepresentation
bin1000001010011011011…
…1111111011101000000
3111101222110202111211200
42002212313333131000
54244202043233102
6144231424541200
713063146564300
oct2024667773500
9441873674750
10140238649152
1154525074848
1223219781800
13102bc15c004
146b051d1600
1539abb6251c
hex20a6dff740

140238649152 has 504 divisors, whose sum is σ = 499414556160. Its totient is φ = 37431797760.

The previous prime is 140238649081. The next prime is 140238649211. The reversal of 140238649152 is 251946832041.

140238649152 is a `hidden beast` number, since 1 + 402 + 38 + 64 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 140238649098 and 140238649107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25370613 + ... + 25376139.

Almost surely, 2140238649152 is an apocalyptic number.

140238649152 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 140238649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249707278080).

140238649152 is an abundant number, since it is smaller than the sum of its proper divisors (359175907008).

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

140238649152 is a wasteful number, since it uses less digits than its factorization.

140238649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 140238649152 in words is "one hundred forty billion, two hundred thirty-eight million, six hundred forty-nine thousand, one hundred fifty-two".