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14325131340120 = 2335414219690119
BaseRepresentation
bin1101000001110101010001…
…0111010110100101011000
31212201110200000220100002110
43100131110113112211120
53334200332110340440
650244512520032320
73005646052216206
oct320352427264530
955643600810073
1014325131340120
114623288205767
1217343816026a0
137cbb145837c3
143774a9186076
1519c969a75080
hexd07545d6958

14325131340120 has 128 divisors (see below), whose sum is σ = 44034072768000. Its totient is φ = 3725974686720.

The previous prime is 14325131340031. The next prime is 14325131340139. The reversal of 14325131340120 is 2104313152341.

It is a super-2 number, since 2×143251313401202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20412421 + ... + 21102539.

It is an arithmetic number, because the mean of its divisors is an integer number (344016193500).

Almost surely, 214325131340120 is an apocalyptic number.

14325131340120 is a gapful number since it is divisible by the number (10) 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 14325131340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22017036384000).

14325131340120 is an abundant number, since it is smaller than the sum of its proper divisors (29708941427880).

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

14325131340120 is a wasteful number, since it uses less digits than its factorization.

14325131340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694393 (or 694389 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 14325131340120 its reverse (2104313152341), we get a palindrome (16429444492461).

The spelling of 14325131340120 in words is "fourteen trillion, three hundred twenty-five billion, one hundred thirty-one million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4219 4920 8438 12657 16876 21095 25314 33752 42190 50628 63285 84380 101256 126570 168760 172979 253140 345958 506280 518937 690119 691916 864895 1037874 1380238 1383832 1729790 2070357 2075748 2594685 2760476 3450595 3459580 4140714 4151496 5189370 5520952 6901190 6919160 8281428 10351785 10378740 13802380 16562856 20703570 20757480 27604760 28294879 41407140 56589758 82814280 84884637 113179516 141474395 169769274 226359032 282948790 339538548 424423185 565897580 679077096 848846370 1131795160 1697692740 2911612061 3395385480 5823224122 8734836183 11646448244 14558060305 17469672366 23292896488 29116120610 34939344732 43674180915 58232241220 69878689464 87348361830 116464482440 119376094501 174696723660 238752189002 349393447320 358128283503 477504378004 596880472505 716256567006 955008756008 1193760945010 1432513134012 1790641417515 2387521890020 2865026268024 3581282835030 4775043780040 7162565670060 14325131340120