Search a number
-
+
102140120448 = 273329554433
BaseRepresentation
bin101111100100000000…
…1101000110110000000
3100202122022122201121000
41133020001220312000
53133140332323243
6114531133132000
710244061461502
oct1371001506600
9322568581530
10102140120448
113a354487293
121796662a000
13982a006bc2
144d2d391d72
1529cc0795d3
hex17c8068d80

102140120448 has 64 divisors (see below), whose sum is σ = 301455226800. Its totient is φ = 34046705664.

The previous prime is 102140120441. The next prime is 102140120543. The reversal of 102140120448 is 844021041201.

102140120448 is a `hidden beast` number, since 1 + 0 + 214 + 0 + 1 + 2 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102140120441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14773761 + ... + 14780672.

Almost surely, 2102140120448 is an apocalyptic number.

102140120448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102140120448 is an abundant number, since it is smaller than the sum of its proper divisors (199315106352).

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

102140120448 is an equidigital number, since it uses as much as digits as its factorization.

102140120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29554456 (or 29554438 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 102140120448 its reverse (844021041201), we get a palindrome (946161161649).

The spelling of 102140120448 in words is "one hundred two billion, one hundred forty million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 29554433 59108866 88663299 118217732 177326598 236435464 265989897 354653196 472870928 531979794 709306392 797969691 945741856 1063959588 1418612784 1595939382 1891483712 2127919176 2837225568 3191878764 3782967424 4255838352 5674451136 6383757528 8511676704 11348902272 12767515056 17023353408 25535030112 34046706816 51070060224 102140120448