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14444402133312 = 2632108791230507
BaseRepresentation
bin1101001000110001100101…
…1101010100100101000000
31220010212112012221101220100
43102030121131110211000
53343124113421231222
650415400003042400
73020400515224224
oct322143135244500
956125465841810
1014444402133312
114669922491a28
121753509070400
1380a141673848
1437d181710784
151a0aea9d94ac
hexd2319754940

14444402133312 has 84 divisors (see below), whose sum is σ = 41402830880736. Its totient is φ = 4814735566080.

The previous prime is 14444402133169. The next prime is 14444402133323. The reversal of 14444402133312 is 21333120444441.

14444402133312 is a `hidden beast` number, since 14 + 44 + 440 + 2 + 133 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62548363 + ... + 62778869.

Almost surely, 214444402133312 is an apocalyptic number.

14444402133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14444402133312 is an abundant number, since it is smaller than the sum of its proper divisors (26958428747424).

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

14444402133312 is a wasteful number, since it uses less digits than its factorization.

14444402133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339316 (or 339303 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14444402133312 its reverse (21333120444441), we get a palindrome (35777522577753).

The spelling of 14444402133312 in words is "fourteen trillion, four hundred forty-four billion, four hundred two million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 108791 217582 230507 326373 435164 461014 652746 691521 870328 922028 979119 1305492 1383042 1740656 1844056 1958238 2074563 2610984 2766084 3481312 3688112 3916476 4149126 5221968 5532168 6962624 7376224 7832952 8298252 10443936 11064336 14752448 15665904 16596504 20887872 22128672 31331808 33193008 44257344 62663616 66386016 132772032 25077087037 50154174074 75231261111 100308348148 150462522222 200616696296 225693783333 300925044444 401233392592 451387566666 601850088888 802466785184 902775133332 1203700177776 1604933570368 1805550266664 2407400355552 3611100533328 4814800711104 7222201066656 14444402133312