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14131554250416 = 24323112911337751
BaseRepresentation
bin1100110110100100001001…
…0001010110111010110000
31212000222000022110022010120
43031221002101112322300
53323012410342003131
650015540231130240
72655654042132201
oct315510221267260
955028008408116
1014131554250416
114559181a69099
121702958b13980
137b67a4b33985
1436bd8411d5a8
151978da425496
hexcda42456eb0

14131554250416 has 80 divisors (see below), whose sum is σ = 38127499445760. Its totient is φ = 4501721664000.

The previous prime is 14131554250381. The next prime is 14131554250423. The reversal of 14131554250416 is 61405245513141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422460 + ... + 6915291.

It is an arithmetic number, because the mean of its divisors is an integer number (476593743072).

Almost surely, 214131554250416 is an apocalyptic number.

14131554250416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14131554250416 is an abundant number, since it is smaller than the sum of its proper divisors (23995945195344).

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

14131554250416 is a wasteful number, since it uses less digits than its factorization.

14131554250416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11338914 (or 11338908 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

Adding to 14131554250416 its reverse (61405245513141), we get a palindrome (75536799763557).

The spelling of 14131554250416 in words is "fourteen trillion, one hundred thirty-one billion, five hundred fifty-four million, two hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1129 2258 3387 4516 6774 9032 13548 18064 25967 27096 51934 54192 77901 103868 155802 207736 311604 415472 623208 1246416 11337751 22675502 34013253 45351004 68026506 90702008 136053012 181404016 260768273 272106024 521536546 544212048 782304819 1043073092 1564609638 2086146184 3129219276 4172292368 6258438552 12516877104 12800320879 25600641758 38400962637 51201283516 76801925274 102402567032 153603850548 204805134064 294407380217 307207701096 588814760434 614415402192 883222140651 1177629520868 1766444281302 2355259041736 3532888562604 4710518083472 7065777125208 14131554250416