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138263498244 = 223229221372
BaseRepresentation
bin1000000011000100100…
…1011000111000000100
3111012212211011110011100
42000301021120320010
54231130423420434
6143303430340100
712663204225654
oct2006111307004
9435784143140
10138263498244
115370115a723
12229681ba630
1310065ba5271
146998b64364
1538e355c699
hex2031258e04

138263498244 has 81 divisors (see below), whose sum is σ = 362136137727. Its totient is φ = 44477774208.

The previous prime is 138263498203. The next prime is 138263498297. The reversal of 138263498244 is 442894362831.

It is a happy number.

The square root of 138263498244 is 371838.

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

138263498244 is a `hidden beast` number, since 1 + 38 + 26 + 349 + 8 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37337832900 + 100925665344 = 193230^2 + 317688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64698744 + ... + 64700880.

Almost surely, 2138263498244 is an apocalyptic number.

138263498244 is the 371838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138263498244

138263498244 is an abundant number, since it is smaller than the sum of its proper divisors (223872639483).

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

138263498244 is an equidigital number, since it uses as much as digits as its factorization.

138263498244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 2171 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 138263498244 in words is "one hundred thirty-eight billion, two hundred sixty-three million, four hundred ninety-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2137 2523 3364 4274 5046 6411 7569 8548 10092 12822 15138 19233 25644 30276 38466 61973 76932 123946 185919 247892 371838 557757 743676 1115514 1797217 2231028 3594434 4566769 5391651 7188868 9133538 10783302 13700307 16174953 18267076 21566604 27400614 32349906 41100921 54801228 64699812 82201842 132436301 164403684 264872602 397308903 529745204 794617806 1191926709 1589235612 2383853418 3840652729 4767706836 7681305458 11521958187 15362610916 23043916374 34565874561 46087832748 69131749122 138263498244