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14330355313440 = 253531963061513
BaseRepresentation
bin1101000010001000101110…
…1111001110101100100000
31212201222011002201200021210
43100202023233032230200
53334242031430012230
650251135131550120
73006222364236135
oct320421357165440
955658132650253
1014330355313440
114625518a8a191
12173539abbb340
137cc46794148a
14377842caa58c
1519cb734bdeb0
hexd088bbceb20

14330355313440 has 96 divisors (see below), whose sum is σ = 46596768293376. Its totient is φ = 3698156206080.

The previous prime is 14330355313331. The next prime is 14330355313511. The reversal of 14330355313440 is 4431355303341.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481515877 + ... + 481545636.

It is an arithmetic number, because the mean of its divisors is an integer number (485383003056).

Almost surely, 214330355313440 is an apocalyptic number.

14330355313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14330355313440 is an abundant number, since it is smaller than the sum of its proper divisors (32266412979936).

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

14330355313440 is a wasteful number, since it uses less digits than its factorization.

14330355313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963061562 (or 963061554 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

The spelling of 14330355313440 in words is "fourteen trillion, three hundred thirty billion, three hundred fifty-five million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 963061513 1926123026 2889184539 3852246052 4815307565 5778369078 7704492104 9630615130 11556738156 14445922695 15408984208 19261230260 23113476312 28891845390 29854906903 30817968416 38522460520 46226952624 57783690780 59709813806 77044921040 89564720709 92453905248 115567381560 119419627612 149274534515 154089842080 179129441418 231134763120 238839255224 298549069030 358258882836 447823603545 462269526240 477678510448 597098138060 716517765672 895647207090 955357020896 1194196276120 1433035531344 1791294414180 2388392552240 2866071062688 3582588828360 4776785104480 7165177656720 14330355313440