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14379025933312 = 21071923718237
BaseRepresentation
bin1101000100111110000010…
…1110111010010000000000
31212220121210001002100012121
43101033200232322100000
53341041221114331222
650325344444134024
73012564444544105
oct321174056722000
955817701070177
1014379025933312
114644124308277
121742902837314
13803c2315a431
14379d3cc2caac
1519e0712bd5c7
hexd13e0bba400

14379025933312 has 88 divisors (see below), whose sum is σ = 28799623578240. Its totient is φ = 7175614341120.

The previous prime is 14379025933309. The next prime is 14379025933439. The reversal of 14379025933312 is 21333952097341.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14379025933312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1745658858 + ... + 1745667094.

Almost surely, 214379025933312 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 14379025933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399811789120).

14379025933312 is an abundant number, since it is smaller than the sum of its proper divisors (14420597644928).

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

14379025933312 is an equidigital number, since it uses as much as digits as its factorization.

14379025933312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11347 (or 11329 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 14379025933312 in words is "fourteen trillion, three hundred seventy-nine billion, twenty-five million, nine hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 719 1024 1438 2371 2876 4742 5752 8237 9484 11504 16474 18968 23008 32948 37936 46016 65896 75872 92032 131792 151744 184064 263584 303488 368128 527168 606976 736256 1054336 1213952 1704749 2108672 2427904 3409498 4217344 5922403 6818996 8434688 11844806 13637992 19529927 23689612 27275984 39059854 47379224 54551968 78119708 94758448 109103936 156239416 189516896 218207872 312478832 379033792 436415744 624957664 758067584 872831488 1249915328 1516135168 1745662976 2499830656 3032270336 4999661312 6064540672 9999322624 14042017513 19998645248 28084035026 56168070052 112336140104 224672280208 449344560416 898689120832 1797378241664 3594756483328 7189512966656 14379025933312