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14211647640 = 2334519322727
BaseRepresentation
bin11010011110001010…
…01000100010011000
31100200102201111120000
431033011020202120
5213101140211030
610310112533000
71012115004021
oct151705104230
940612644500
1014211647640
116033117243
122907551160
131456413978
1498b64bc48
155829dd860
hex34f148898

14211647640 has 160 divisors (see below), whose sum is σ = 48016536480. Its totient is φ = 3769970688.

The previous prime is 14211647623. The next prime is 14211647687. The reversal of 14211647640 is 4674611241.

It is a happy number.

14211647640 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 6 + 4 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14211647595 and 14211647604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 613957 + ... + 636683.

It is an arithmetic number, because the mean of its divisors is an integer number (300103353).

Almost surely, 214211647640 is an apocalyptic number.

14211647640 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 14211647640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24008268240).

14211647640 is an abundant number, since it is smaller than the sum of its proper divisors (33804888840).

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

14211647640 is a wasteful number, since it uses less digits than its factorization.

14211647640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22943 (or 22930 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 14211647640 in words is "fourteen billion, two hundred eleven million, six hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 193 216 270 324 360 386 405 540 579 648 772 810 965 1080 1158 1544 1620 1737 1930 2316 2895 3240 3474 3860 4632 5211 5790 6948 7720 8685 10422 11580 13896 15633 17370 20844 22727 23160 26055 31266 34740 41688 45454 52110 62532 68181 69480 78165 90908 104220 113635 125064 136362 156330 181816 204543 208440 227270 272724 312660 340905 409086 454540 545448 613629 625320 681810 818172 909080 1022715 1227258 1363620 1636344 1840887 2045430 2454516 2727240 3068145 3681774 4090860 4386311 4909032 6136290 7363548 8181720 8772622 9204435 12272580 13158933 14727096 17545244 18408870 21931555 24545160 26317866 35090488 36817740 39476799 43863110 52635732 65794665 73635480 78953598 87726220 105271464 118430397 131589330 157907196 175452440 197383995 236860794 263178660 315814392 355291191 394767990 473721588 526357320 592151985 710582382 789535980 947443176 1184303970 1421164764 1579071960 1776455955 2368607940 2842329528 3552911910 4737215880 7105823820 14211647640