Search a number
-
+
109436579344 = 2419124332
BaseRepresentation
bin110010111101011101…
…1011010111000010000
3101110110211020020112101
41211322323122320100
53243111231014334
6122135141410144
710622640401431
oct1457273327020
9343424206471
10109436579344
1142459106904
1219262109954
13a42086abc1
14542243d488
152ca7903214
hex197aedae10

109436579344 has 45 divisors (see below), whose sum is σ = 213642705549. Its totient is φ = 54306097920.

The previous prime is 109436579303. The next prime is 109436579359. The reversal of 109436579344 is 443975634901.

The square root of 109436579344 is 330812.

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., 12272208400 + 97164370944 = 110780^2 + 311712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 252740152 + ... + 252740584.

Almost surely, 2109436579344 is an apocalyptic number.

109436579344 is the 330812-nd square number.

It is an amenable number.

109436579344 is a deficient number, since it is larger than the sum of its proper divisors (104206126205).

109436579344 is an frugal number, since it uses more digits than its factorization.

109436579344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 109436579344 in words is "one hundred nine billion, four hundred thirty-six million, five hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 191 382 433 764 866 1528 1732 3056 3464 6928 36481 72962 82703 145924 165406 187489 291848 330812 374978 583696 661624 749956 1323248 1499912 2999824 15796273 31592546 35810399 63185092 71620798 126370184 143241596 252740368 286483192 572966384 6839786209 13679572418 27359144836 54718289672 109436579344