Search a number
-
+
147331044 = 223272174
BaseRepresentation
bin10001100100000…
…01011111100100
3101021020012012100
420302001133210
5300204043134
622341452100
73436202400
oct1062013744
9337205170
10147331044
1176189aa3
1241411030
13246a6143
14157d2100
15ce03999
hex8c817e4

147331044 has 135 divisors (see below), whose sum is σ = 460299567. Its totient is φ = 39618432.

The previous prime is 147331021. The next prime is 147331091. The reversal of 147331044 is 440133741.

The square root of 147331044 is 12138.

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

It can be written as a sum of positive squares in 2 ways, for example, as 45724644 + 101606400 = 6762^2 + 10080^2 .

It is a super-2 number, since 2×1473310442 = 43412873052259872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147330999 and 147331017.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8666524 + ... + 8666540.

Almost surely, 2147331044 is an apocalyptic number.

147331044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

147331044 is the 12138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147331044

147331044 is an abundant number, since it is smaller than the sum of its proper divisors (312968523).

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

147331044 is an equidigital number, since it uses as much as digits as its factorization.

147331044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 147331044 is about 528.1590860159.

Adding to 147331044 its reverse (440133741), we get a palindrome (587464785).

The spelling of 147331044 in words is "one hundred forty-seven million, three hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 289 294 306 357 441 476 578 588 612 714 833 867 882 1071 1156 1428 1666 1734 1764 2023 2142 2499 2601 3332 3468 4046 4284 4913 4998 5202 6069 7497 8092 9826 9996 10404 12138 14161 14739 14994 18207 19652 24276 28322 29478 29988 34391 36414 42483 44217 56644 58956 68782 72828 83521 84966 88434 103173 127449 137564 167042 169932 176868 206346 240737 250563 254898 309519 334084 412692 481474 501126 509796 584647 619038 722211 751689 962948 1002252 1169294 1238076 1444422 1503378 1753941 2166633 2338588 2888844 3006756 3507882 4092529 4333266 5261823 7015764 8185058 8666532 10523646 12277587 16370116 21047292 24555174 36832761 49110348 73665522 147331044