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14022101320392 = 23311433907316153
BaseRepresentation
bin1100110000001100011001…
…0111100100001011001000
31211122111111100110100200110
43030003012113210023020
53314214230414223032
645453355303034320
72645030512441014
oct314030627441310
954574440410613
1014022101320392
114516815704830
1216a56b143b9a0
137a9380a8c719
1436695d865544
15194b313927cc
hexcc0c65e42c8

14022101320392 has 128 divisors (see below), whose sum is σ = 39141585077760. Its totient is φ = 4149229432320.

The previous prime is 14022101320379. The next prime is 14022101320393. The reversal of 14022101320392 is 29302310122041.

It is not an unprimeable number, because it can be changed into a prime (14022101320393) 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, 44194188 + ... + 44510340.

It is an arithmetic number, because the mean of its divisors is an integer number (305793633420).

Almost surely, 214022101320392 is an apocalyptic number.

14022101320392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022101320392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570792538880).

14022101320392 is an abundant number, since it is smaller than the sum of its proper divisors (25119483757368).

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

14022101320392 is a wasteful number, since it uses less digits than its factorization.

14022101320392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320123 (or 320119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 14022101320392 in words is "fourteen trillion, twenty-two billion, one hundred one million, three hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 3907 5676 7814 11352 11721 15628 23442 31256 42977 46884 85954 93768 128931 168001 171908 257862 316153 336002 343816 504003 515724 632306 672004 948459 1008006 1031448 1264612 1344008 1848011 1896918 2016012 2529224 3477683 3696022 3793836 4032024 5544033 6955366 7392044 7587672 10433049 11088066 13594579 13910732 14784088 20866098 22176132 27189158 27821464 40783737 41732196 44352264 54378316 81567474 83464392 108756632 149540369 163134948 299080738 326269896 448621107 598161476 897242214 1196322952 1235209771 1794484428 2470419542 3588968856 3705629313 4940839084 7411258626 9881678168 13587307481 14822517252 27174614962 29645034504 40761922443 53114020153 54349229924 81523844886 106228040306 108698459848 159342060459 163047689772 212456080612 318684120918 326095379544 424912161224 584254221683 637368241836 1168508443366 1274736483672 1752762665049 2337016886732 3505525330098 4674033773464 7011050660196 14022101320392