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14430040315012 = 2273125316760589
BaseRepresentation
bin1101000111111100000101…
…1011010101010010000100
31220002111110022122102221001
43101333001123111102010
53342410210310040022
650405022523303044
73016351564616650
oct321770133252204
956074408572831
1014430040315012
114663822627303
12175077b37aa84
138089931013ca
1437c5bc171a60
151a0559c35b27
hexd1fc16d5484

14430040315012 has 144 divisors (see below), whose sum is σ = 30566187267840. Its totient is φ = 5836631074560.

The previous prime is 14430040314971. The next prime is 14430040315051. The reversal of 14430040315012 is 21051304003441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238132414 + ... + 238193002.

It is an arithmetic number, because the mean of its divisors is an integer number (212265189360).

Almost surely, 214430040315012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430040315012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283093633920).

14430040315012 is an abundant number, since it is smaller than the sum of its proper divisors (16136146952828).

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

14430040315012 is a wasteful number, since it uses less digits than its factorization.

14430040315012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60882 (or 60849 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 14430040315012 its reverse (21051304003441), we get a palindrome (35481344318453).

The spelling of 14430040315012 in words is "fourteen trillion, four hundred thirty billion, forty million, three hundred fifteen thousand, twelve".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 167 212 217 334 371 434 668 742 868 961 1169 1484 1643 1922 2338 3286 3844 4676 5177 6572 6727 8851 10354 11501 13454 17702 20708 23002 26908 35404 36239 46004 50933 60589 61957 72478 101866 121178 123914 144956 160487 203732 242356 247828 274381 320974 356531 424123 548762 641948 713062 848246 1097524 1123409 1426124 1696492 1878259 1920667 2246818 3211217 3756518 3841334 4493636 6422434 7513036 7682668 8505811 10118363 12844868 13147813 17011622 20236726 22478519 26295626 34023244 40473452 44957038 52591252 58226029 59540677 70828541 89914076 99547727 116452058 119081354 141657082 199095454 232904116 238162708 283314164 313669253 398190908 407582203 536273239 627338506 696834089 815164406 1072546478 1254677012 1393668178 1630328812 2145092956 2195684771 2787336356 3085979537 3753912673 4391369542 6171959074 7507825346 8782739084 9723746843 12343918148 15015650692 16624470409 19447493686 21601856759 33248940818 38894987372 43203713518 66497881636 68066227901 86407427036 116371292863 136132455802 232742585726 272264911604 465485171452 515358582679 1030717165358 2061434330716 3607510078753 7215020157506 14430040315012