Search a number
-
+
14442591744 = 29327447749
BaseRepresentation
bin11010111001101100…
…00111011000000000
31101021112021200022100
431130312013120000
5214034300413434
610345042510400
71020621001320
oct153466073000
941245250270
1014442591744
116141514a39
122970965400
131492213899
149b01a7280
15597e0b699
hex35cd87600

14442591744 has 120 divisors (see below), whose sum is σ = 47637018000. Its totient is φ = 4126445568.

The previous prime is 14442591731. The next prime is 14442591763. The reversal of 14442591744 is 44719524441.

14442591744 is a `hidden beast` number, since 14 + 4 + 4 + 2 + 591 + 7 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14442591744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191619 + ... + 256130.

It is an arithmetic number, because the mean of its divisors is an integer number (396975150).

Almost surely, 214442591744 is an apocalyptic number.

14442591744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14442591744 is an abundant number, since it is smaller than the sum of its proper divisors (33194426256).

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

14442591744 is an equidigital number, since it uses as much as digits as its factorization.

14442591744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447780 (or 447761 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 14442591744 in words is "fourteen billion, four hundred forty-two million, five hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 447749 895498 1343247 1790996 2686494 3134243 3581992 4029741 5372988 6268486 7163984 8059482 9402729 10745976 12536972 14327968 16118964 18805458 21491952 25073944 28208187 28655936 32237928 37610916 42983904 50147888 56416374 57311872 64475856 75221832 85967808 100295776 112832748 114623744 128951712 150443664 171935616 200591552 225665496 229247488 257903424 300887328 343871232 401183104 451330992 515806848 601774656 687742464 802366208 902661984 1031613696 1203549312 1604732416 1805323968 2063227392 2407098624 3610647936 4814197248 7221295872 14442591744