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14340105100240 = 2452575711221499
BaseRepresentation
bin1101000010101101000011…
…0111101101101111010000
31212202220022120200011102121
43100223100313231233100
53334422013401201430
650255430415424024
73010016113120423
oct320532067555720
955686276604377
1014340105100240
114629671535327
121737260225014
1380035c8431aa
143780c9ad99ba
1519d044404a7a
hexd0ad0dedbd0

14340105100240 has 80 divisors (see below), whose sum is σ = 33529119624000. Its totient is φ = 5703711621120.

The previous prime is 14340105100207. The next prime is 14340105100247. The reversal of 14340105100240 is 4200150104341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×143401051002402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340105100247) 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 15 ways as a sum of consecutive naturals, for example, 11129011 + ... + 12350509.

It is an arithmetic number, because the mean of its divisors is an integer number (419113995300).

Almost surely, 214340105100240 is an apocalyptic number.

14340105100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14340105100240 is an abundant number, since it is smaller than the sum of its proper divisors (19189014523760).

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

14340105100240 is a wasteful number, since it uses less digits than its factorization.

14340105100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222340 (or 1222334 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14340105100240 its reverse (4200150104341), we get a palindrome (18540255204581).

The spelling of 14340105100240 in words is "fourteen trillion, three hundred forty billion, one hundred five million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 571 1028 1142 1285 2056 2284 2570 2855 4112 4568 5140 5710 9136 10280 11420 20560 22840 45680 146747 293494 586988 733735 1173976 1221499 1467470 2347952 2442998 2934940 4885996 5869880 6107495 9771992 11739760 12214990 19543984 24429980 48859960 97719920 313925243 627850486 697475929 1255700972 1394951858 1569626215 2511401944 2789903716 3139252430 3487379645 5022803888 5579807432 6278504860 6974759290 11159614864 12557009720 13949518580 25114019440 27899037160 55798074320 179251313753 358502627506 717005255012 896256568765 1434010510024 1792513137530 2868021020048 3585026275060 7170052550120 14340105100240