Search a number
-
+
140153511032040 = 2335112925114586743
BaseRepresentation
bin11111110111100000001000…
…001111010011010011101000
3200101020112201011022221222110
4133313200020033103103220
5121332233342311011130
61214025344545122320
741343520441365252
oct3767401017232350
9611215634287873
10140153511032040
1140725852201770
12138768333293a0
13602855b4bc9bc
1426876750accd2
151130aab456ab0
hex7f78083d34e8

140153511032040 has 256 divisors, whose sum is σ = 476391389644800. Its totient is φ = 32674302080000.

The previous prime is 140153511032033. The next prime is 140153511032077. The reversal of 140153511032040 is 40230115351041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140153511031989 and 140153511032007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2314909 + ... + 16901651.

It is an arithmetic number, because the mean of its divisors is an integer number (1860903865800).

Almost surely, 2140153511032040 is an apocalyptic number.

140153511032040 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 140153511032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238195694822400).

140153511032040 is an abundant number, since it is smaller than the sum of its proper divisors (336237878612760).

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

140153511032040 is a wasteful number, since it uses less digits than its factorization.

140153511032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14587048 (or 14587044 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 140153511032040 its reverse (40230115351041), we get a palindrome (180383626383081).

The spelling of 140153511032040 in words is "one hundred forty trillion, one hundred fifty-three billion, five hundred eleven million, thirty-two thousand, forty".