Search a number
-
+
140387849280 = 263257291092203
BaseRepresentation
bin1000001010111111000…
…1001001010001000000
3111102100212111122221100
42002233301021101000
54300003242134110
6144254314454400
713066641013140
oct2025761112100
9442325448840
10140387849280
11545a1310038
122325b734400
131031403ab03
146b1ad4c920
1539b9cd4bc0
hex20afc49440

140387849280 has 672 divisors, whose sum is σ = 576386553600. Its totient is φ = 30683971584.

The previous prime is 140387849267. The next prime is 140387849281. The reversal of 140387849280 is 82948783041.

It is a happy number.

140387849280 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 8 + 78 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (140387849281) 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, 63724659 + ... + 63726861.

Almost surely, 2140387849280 is an apocalyptic number.

140387849280 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 140387849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288193276800).

140387849280 is an abundant number, since it is smaller than the sum of its proper divisors (435998704320).

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

140387849280 is a wasteful number, since it uses less digits than its factorization.

140387849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 140387849280 in words is "one hundred forty billion, three hundred eighty-seven million, eight hundred forty-nine thousand, two hundred eighty".