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138499344025 = 5278312
BaseRepresentation
bin1000000011111100110…
…1000100011010011001
3111020111020221122202021
42000333031010122121
54232121313002100
6143343053334441
713002100000000
oct2007715043231
9436436848667
10138499344025
11538122a6099
1222a13197421
13100a2a00293
1469bc1d7c37
1539090e7a1a
hex203f344699

138499344025 has 81 divisors (see below), whose sum is σ = 207034175583. Its totient is φ = 91907398800.

The previous prime is 138499344019. The next prime is 138499344043. The reversal of 138499344025 is 520443994831.

The square root of 138499344025 is 372155.

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

It can be written as a sum of positive squares in only one way, i.e., 49859763849 + 88639580176 = 223293^2 + 297724^2 .

It is not a de Polignac number, because 138499344025 - 23 = 138499344017 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 4467720760 + ... + 4467720790.

Almost surely, 2138499344025 is an apocalyptic number.

138499344025 is the 372155-th square number.

138499344025 is the 186078-th centered octagonal number.

It is an amenable number.

138499344025 is a deficient number, since it is larger than the sum of its proper divisors (68534831558).

138499344025 is an frugal number, since it uses more digits than its factorization.

138499344025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 138499344025 in words is "one hundred thirty-eight billion, four hundred ninety-nine million, three hundred forty-four thousand, twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 343 775 961 1085 1225 1519 1715 2401 4805 5425 6727 7595 8575 10633 12005 16807 24025 33635 37975 47089 53165 60025 74431 84035 117649 168175 235445 265825 329623 372155 420175 521017 588245 823543 1177225 1648115 1860775 2307361 2605085 2941225 3647119 4117715 5764801 8240575 11536805 13025425 16151527 18235595 20588575 25529833 28824005 57684025 80757635 91177975 113060689 127649165 144120025 178708831 403788175 565303445 638245825 791424823 893544155 2826517225 3957124115 4467720775 5539973761 19785620575 27699868805 138499344025