Search a number
-
+
240311634464132 = 2271113722732577703
BaseRepresentation
bin110110101000111111101001…
…100110111000110110000100
31011111212120022222210010000222
4312220333221212320312010
5222444231211410323012
62211033350225523512
7101421641216536340
oct6650775146706604
91144776288703028
10240311634464132
116a63065681a830
1222b520081a3598
13a41239cb8433a
14434b2064aa620
151cbb0cca83972
hexda8fe99b8d84

240311634464132 has 192 divisors, whose sum is σ = 530701799878656. Its totient is φ = 92494626723840.

The previous prime is 240311634464123. The next prime is 240311634464173. The reversal of 240311634464132 is 231464436113042.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 31197144593 + ... + 31197152295.

It is an arithmetic number, because the mean of its divisors is an integer number (2764071874368).

Almost surely, 2240311634464132 is an apocalyptic number.

240311634464132 is a gapful number since it is divisible by the number (22) 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 240311634464132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265350899939328).

240311634464132 is an abundant number, since it is smaller than the sum of its proper divisors (290390165414524).

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

240311634464132 is a wasteful number, since it uses less digits than its factorization.

240311634464132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11346 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 240311634464132 in words is "two hundred forty trillion, three hundred eleven billion, six hundred thirty-four million, four hundred sixty-four thousand, one hundred thirty-two".