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14014014301200 = 2435270116659551
BaseRepresentation
bin1100101111101110010001…
…0110000010010000010000
31211121201121202022012220010
43023323210112002100100
53314101200130114300
645445541014114520
72644323224061414
oct313734426022020
954551552265803
1014014014301200
1145133458015a1
1216a401504ba40
137a86924cc374
143663d37c8d44
1519480b408a50
hexcbee4582410

14014014301200 has 120 divisors (see below), whose sum is σ = 44955601157376. Its totient is φ = 3731739200000.

The previous prime is 14014014301127. The next prime is 14014014301213. The reversal of 14014014301200 is 210341041041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×140140143012003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7488576 + ... + 9170975.

Almost surely, 214014014301200 is an apocalyptic number.

14014014301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014014301200 is an abundant number, since it is smaller than the sum of its proper divisors (30941586856176).

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

14014014301200 is a wasteful number, since it uses less digits than its factorization.

14014014301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16660273 (or 16660262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14014014301200 its reverse (210341041041), we get a palindrome (14224355342241).

The spelling of 14014014301200 in words is "fourteen trillion, fourteen billion, fourteen million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 701 1200 1402 2103 2804 3505 4206 5608 7010 8412 10515 11216 14020 16824 17525 21030 28040 33648 35050 42060 52575 56080 70100 84120 105150 140200 168240 210300 280400 420600 841200 16659551 33319102 49978653 66638204 83297755 99957306 133276408 166595510 199914612 249893265 266552816 333191020 399829224 416488775 499786530 666382040 799658448 832977550 999573060 1249466325 1332764080 1665955100 1999146120 2498932650 3331910200 3998292240 4997865300 6663820400 9995730600 11678345251 19991461200 23356690502 35035035753 46713381004 58391726255 70070071506 93426762008 116783452510 140140143012 175175178765 186853524016 233566905020 280280286024 291958631275 350350357530 467133810040 560560572048 583917262550 700700715060 875875893825 934267620080 1167834525100 1401401430120 1751751787650 2335669050200 2802802860240 3503503575300 4671338100400 7007007150600 14014014301200