Search a number
-
+
103144636728 = 23327204652057
BaseRepresentation
bin110000000001111100…
…1100100000100111000
3100212020022211102212200
41200003321210010320
53142220011333403
6115214535310200
710311006642420
oct1400371440470
9325208742780
10103144636728
113a81a505231
1217ba6b1b360
13995a165933
144dc6957480
152a3a34dca3
hex1803e64138

103144636728 has 48 divisors (see below), whose sum is σ = 319257210480. Its totient is φ = 29469896064.

The previous prime is 103144636711. The next prime is 103144636753. The reversal of 103144636728 is 827636441301.

103144636728 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 4 + 636 + 7 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102325525 + ... + 102326532.

It is an arithmetic number, because the mean of its divisors is an integer number (6651191885).

Almost surely, 2103144636728 is an apocalyptic number.

103144636728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103144636728 is an abundant number, since it is smaller than the sum of its proper divisors (216112573752).

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

103144636728 is a wasteful number, since it uses less digits than its factorization.

103144636728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204652076 (or 204652069 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 103144636728 in words is "one hundred three billion, one hundred forty-four million, six hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 204652057 409304114 613956171 818608228 1227912342 1432564399 1637216456 1841868513 2455824684 2865128798 3683737026 4297693197 4911649368 5730257596 7367474052 8595386394 11460515192 12893079591 14734948104 17190772788 25786159182 34381545576 51572318364 103144636728