Search a number
-
+
140351987160 = 233257115985817
BaseRepresentation
bin1000001010110110100…
…0010101110111011000
3111102021101000200100200
42002231220111313120
54244420102042120
6144250554102200
713066024130640
oct2025550256730
9442241020320
10140351987160
1154583046320
122324b71a960
1310309792818
146b16295520
1539b6a9de90
hex20ada15dd8

140351987160 has 384 divisors, whose sum is σ = 578344665600. Its totient is φ = 28669409280.

The previous prime is 140351987147. The next prime is 140351987177. The reversal of 140351987160 is 61789153041.

140351987160 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 519 + 8 + 71 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1592572 + ... + 1678388.

It is an arithmetic number, because the mean of its divisors is an integer number (1506105900).

Almost surely, 2140351987160 is an apocalyptic number.

140351987160 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 140351987160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289172332800).

140351987160 is an abundant number, since it is smaller than the sum of its proper divisors (437992678440).

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

140351987160 is a wasteful number, since it uses less digits than its factorization.

140351987160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85911 (or 85904 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 140351987160 in words is "one hundred forty billion, three hundred fifty-one million, nine hundred eighty-seven thousand, one hundred sixty".