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136004588944 = 2472131712
BaseRepresentation
bin111111010101010000…
…0010101010110010000
3111000001101121222010221
41332222200111112100
54212014133321234
6142251334202424
712553214634400
oct1765240252620
9430041558127
10136004588944
1152752054734
12224377b3414
13ca95bb9243
146822b50800
1538100a5eb4
hex1faa815590

136004588944 has 45 divisors (see below), whose sum is σ = 306554025771. Its totient is φ = 58283255520.

The previous prime is 136004588933. The next prime is 136004588969. The reversal of 136004588944 is 449885400631.

The square root of 136004588944 is 368788.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 136004588891 and 136004588900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10319479 + ... + 10332649.

Almost surely, 2136004588944 is an apocalyptic number.

136004588944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

136004588944 is the 368788-th square number.

It is an amenable number.

136004588944 is an abundant number, since it is smaller than the sum of its proper divisors (170549436827).

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

136004588944 is an frugal number, since it uses more digits than its factorization.

136004588944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26364 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 136004588944 in words is "one hundred thirty-six billion, four million, five hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 13171 26342 52684 92197 105368 184394 210736 368788 645379 737576 1290758 1475152 2581516 5163032 10326064 173475241 346950482 693900964 1214326687 1387801928 2428653374 2775603856 4857306748 8500286809 9714613496 17000573618 19429226992 34001147236 68002294472 136004588944