Search a number
-
+
140515928064 = 2113694117
BaseRepresentation
bin1000001011011101100…
…1101110100000000000
3111102200210111202000000
42002313121232200000
54300234034144224
6144315132000000
713103054452521
oct2026731564000
9442623452000
10140515928064
115465763a576
1223296600000
1310334732c85
146b2dd6c848
1539c61840c9
hex20b766e800

140515928064 has 168 divisors, whose sum is σ = 421256638530. Its totient is φ = 46838145024.

The previous prime is 140515928057. The next prime is 140515928129. The reversal of 140515928064 is 460829515041.

140515928064 is a `hidden beast` number, since 1 + 4 + 0 + 51 + 592 + 8 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 117654488064 + 22861440000 = 343008^2 + 151200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1445934 + ... + 1540050.

Almost surely, 2140515928064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140515928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210628319265).

140515928064 is an abundant number, since it is smaller than the sum of its proper divisors (280740710466).

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

140515928064 is an frugal number, since it uses more digits than its factorization.

140515928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94157 (or 94122 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 140515928064 in words is "one hundred forty billion, five hundred fifteen million, nine hundred twenty-eight thousand, sixty-four".