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14012033102320 = 2451137597293983
BaseRepresentation
bin1100101111100110111001…
…0000010111000111110000
31211121112111200022212221211
43023321232100113013300
53314033120433233240
645445012242125504
72644223146133401
oct313715620270760
954545450285854
1014012033102320
114512519436550
1216a3761650894
137a8437c08836
143662866259a8
1519474250bbea
hexcbe6e4171f0

14012033102320 has 160 divisors (see below), whose sum is σ = 37118792816640. Its totient is φ = 4873547013120.

The previous prime is 14012033102281. The next prime is 14012033102323. The reversal of 14012033102320 is 2320133021041.

It is a super-2 number, since 2×140120331023202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14012033102291 and 14012033102300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012033102323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725952 + ... + 5568031.

It is an arithmetic number, because the mean of its divisors is an integer number (231992455104).

Almost surely, 214012033102320 is an apocalyptic number.

14012033102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012033102320 is an abundant number, since it is smaller than the sum of its proper divisors (23106759714320).

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

14012033102320 is a wasteful number, since it uses less digits than its factorization.

14012033102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294103 (or 7294097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 14012033102320 its reverse (2320133021041), we get a palindrome (16332166123361).

The spelling of 14012033102320 in words is "fourteen trillion, twelve billion, thirty-three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 59 74 80 88 110 118 148 176 185 220 236 295 296 370 407 440 472 590 592 649 740 814 880 944 1180 1298 1480 1628 2035 2183 2360 2596 2960 3245 3256 4070 4366 4720 5192 6490 6512 8140 8732 10384 10915 12980 16280 17464 21830 24013 25960 32560 34928 43660 48026 51920 87320 96052 120065 174640 192104 240130 384208 480260 960520 1921040 7293983 14587966 29175932 36469915 58351864 72939830 80233813 116703728 145879660 160467626 269877371 291759320 320935252 401169065 430344997 539754742 583518640 641870504 802338130 860689994 1079509484 1283741008 1349386855 1604676260 1721379988 2151724985 2159018968 2698773710 2968651081 3209352520 3442759976 4303449970 4318037936 4733794967 5397547420 5937302162 6418705040 6885519952 8606899940 9467589934 10795094840 11874604324 14843255405 15922764889 17213799880 18935179868 21590189680 23668974835 23749208648 29686510810 31845529778 34427599760 37870359736 47337949670 47498417296 59373021620 63691059556 75740719472 79613824445 94675899340 118746043240 127382119112 159227648890 175150413779 189351798680 237492086480 254764238224 318455297780 350300827558 378703597360 636910595560 700601655116 875752068895 1273821191120 1401203310232 1751504137790 2802406620464 3503008275580 7006016551160 14012033102320