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14444320331776 = 21124129265107
BaseRepresentation
bin1101001000110001010010…
…0101010001100000000000
31220010212022112000110021211
43102030110211101200000
53343123432001104101
650415343521455504
73020365503015616
oct322142445214000
956125275013254
1014444320331776
1146698902a0255
1217534a57a1594
1380a12a73247a
1437d1748d96b6
151a0ae372bc51
hexd2314951800

14444320331776 has 48 divisors (see below), whose sum is σ = 29001429376920. Its totient is φ = 7192192450560.

The previous prime is 14444320331767. The next prime is 14444320331783. The reversal of 14444320331776 is 67713302344441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14138986 + ... + 15126121.

Almost surely, 214444320331776 is an apocalyptic number.

14444320331776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14444320331776 is an abundant number, since it is smaller than the sum of its proper divisors (14557109045144).

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

14444320331776 is an equidigital number, since it uses as much as digits as its factorization.

14444320331776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29265370 (or 29265350 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 49.

The spelling of 14444320331776 in words is "fourteen trillion, four hundred forty-four billion, three hundred twenty million, three hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 512 964 1024 1928 2048 3856 7712 15424 30848 61696 123392 246784 493568 29265107 58530214 117060428 234120856 468241712 936483424 1872966848 3745933696 7052890787 7491867392 14105781574 14983734784 28211563148 29967469568 56423126296 59934939136 112846252592 225692505184 451385010368 902770020736 1805540041472 3611080082944 7222160165888 14444320331776