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14023131100440 = 23357111517654881
BaseRepresentation
bin1100110000010000001110…
…1111110111010100011000
31211122121011010011121100020
43030010003233313110120
53314223333030203230
645454045410510440
72645065155433140
oct314040357672430
954577133147306
1014023131100440
1145171a3a18820
1216a593a295420
137a94b6225727
14366a1a525920
15194b919a7810
hexcc103bf7518

14023131100440 has 128 divisors (see below), whose sum is σ = 52450152721920. Its totient is φ = 2913897369600.

The previous prime is 14023131100423. The next prime is 14023131100441. The reversal of 14023131100440 is 4400113132041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14023131100440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14023131100441) 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, 758818201 + ... + 758836680.

It is an arithmetic number, because the mean of its divisors is an integer number (409766818140).

Almost surely, 214023131100440 is an apocalyptic number.

14023131100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14023131100440 is an abundant number, since it is smaller than the sum of its proper divisors (38427021621480).

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

14023131100440 is a wasteful number, since it uses less digits than its factorization.

14023131100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517654913 (or 1517654909 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14023131100440 its reverse (4400113132041), we get a palindrome (18423244232481).

The spelling of 14023131100440 in words is "fourteen trillion, twenty-three billion, one hundred thirty-one million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 1517654881 3035309762 4552964643 6070619524 7588274405 9105929286 10623584167 12141239048 15176548810 16694203691 18211858572 21247168334 22764823215 30353097620 31870752501 33388407382 36423717144 42494336668 45529646430 50082611073 53117920835 60706195240 63741505002 66776814764 83471018455 84988673336 91059292860 100165222146 106235841670 116859425837 127483010004 133553629528 159353762505 166942036910 182118585720 200330444292 212471683340 233718851674 250413055365 254966020008 318707525010 333884073820 350578277511 400660888584 424943366680 467437703348 500826110730 584297129185 637415050020 667768147640 701156555022 934875406696 1001652221460 1168594258370 1274830100040 1402313110044 1752891387555 2003304442920 2337188516740 2804626220088 3505782775110 4674377033480 7011565550220 14023131100440