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14379028029784 = 231119311319210323
BaseRepresentation
bin1101000100111110000011…
…0110111010000101011000
31212220121210012000212000201
43101033200312322011120
53341041222133423114
650325345001111544
73012564501425215
oct321174066720530
955817705025021
1014379028029784
11464412550a3a0
1217429034885b4
13803c23712752
14379d3d216b0c
1519e071584874
hexd13e0dba158

14379028029784 has 128 divisors (see below), whose sum is σ = 31982708736000. Its totient is φ = 5987614953600.

The previous prime is 14379028029781. The next prime is 14379028029787. The reversal of 14379028029784 is 48792082097341.

It is an interprime number because it is at equal distance from previous prime (14379028029781) and next prime (14379028029787).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379028029781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68261247 + ... + 68471569.

It is an arithmetic number, because the mean of its divisors is an integer number (249864912000).

Almost surely, 214379028029784 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 14379028029784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991354368000).

14379028029784 is an abundant number, since it is smaller than the sum of its proper divisors (17603680706216).

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

14379028029784 is a wasteful number, since it uses less digits than its factorization.

14379028029784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211709 (or 211705 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

The spelling of 14379028029784 in words is "fourteen trillion, three hundred seventy-nine billion, twenty-eight million, twenty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 341 418 589 682 836 1178 1319 1364 1672 2356 2638 2728 4712 5276 6479 10552 12958 14509 25061 25916 29018 40889 50122 51832 58036 81778 100244 116072 163556 200488 210323 275671 327112 420646 449779 551342 776891 841292 899558 1102684 1553782 1682584 1799116 2205368 2313553 3107564 3598232 3996137 4627106 6215128 6520013 7992274 8545801 9254212 13040026 15984548 17091602 18508424 26080052 31969096 34183204 43957507 52160104 68366408 71720143 87915014 123880247 143440286 175830028 247760494 277416037 286880572 351660056 495520988 554832074 573761144 991041976 1109664148 1362682717 2219328296 2725365434 3051576407 5270904703 5450730868 6103152814 8599897147 10541809406 10901461736 12206305628 17199794294 21083618812 24412611256 34399588588 42167237624 57979951733 68799177176 94598868617 115959903466 163398045793 189197737234 231919806932 326796091586 378395474468 463839613864 653592183172 756790948936 1307184366344 1797378503723 3594757007446 7189514014892 14379028029784