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149430179844 = 223211258572
BaseRepresentation
bin1000101100101010111…
…0111001100000000100
3112021201001020122120100
42023022232321200010
54422013111223334
6152351451204100
713540006400001
oct2131256714004
9467631218510
10149430179844
1158411493900
1224b63a46630
13111254bc67a
147337c228a8
153d48a73c99
hex22cabb9804

149430179844 has 81 divisors (see below), whose sum is σ = 415257645621. Its totient is φ = 45274141440.

The previous prime is 149430179839. The next prime is 149430179849. The reversal of 149430179844 is 448971034941.

The square root of 149430179844 is 386562.

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

149430179844 is a `hidden beast` number, since 1 + 494 + 3 + 0 + 1 + 79 + 84 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (149430179839) and next prime (149430179849).

It can be written as a sum of positive squares in only one way, i.e., 141278256900 + 8151922944 = 375870^2 + 90288^2 .

It is not an unprimeable number, because it can be changed into a prime (149430179849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25510164 + ... + 25516020.

Almost surely, 2149430179844 is an apocalyptic number.

149430179844 is the 386562-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149430179844

149430179844 is an abundant number, since it is smaller than the sum of its proper divisors (265827465777).

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

149430179844 is an equidigital number, since it uses as much as digits as its factorization.

149430179844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11746 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 149430179844 in words is "one hundred forty-nine billion, four hundred thirty million, one hundred seventy-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 5857 11714 17571 23428 35142 52713 64427 70284 105426 128854 193281 210852 257708 386562 579843 708697 773124 1159686 1417394 2126091 2319372 2834788 4252182 6378273 8504364 12756546 25513092 34304449 68608898 102913347 137217796 205826694 308740041 377348939 411653388 617480082 754697878 1132046817 1234960164 1509395756 2264093634 3396140451 4150838329 4528187268 6792280902 8301676658 12452514987 13584561804 16603353316 24905029974 37357544961 49810059948 74715089922 149430179844