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14222065347810 = 2335479937117361
BaseRepresentation
bin1100111011110101010100…
…1001110010110011100010
31212100121122012001110002000
43032331111021302303202
53331003242212112220
650125305430104430
72665340015562465
oct316752511626342
955317565043060
1014222065347810
1145935a9136221
1217183b8aab116
137c219a7c5238
143724ccc612dc
15199e365ad390
hexcef55272ce2

14222065347810 has 128 divisors (see below), whose sum is σ = 38045568153600. Its totient is φ = 3780561807360.

The previous prime is 14222065347803. The next prime is 14222065347863. The reversal of 14222065347810 is 1874356022241.

14222065347810 is a `hidden beast` number, since 1 + 4 + 2 + 220 + 6 + 5 + 347 + 81 + 0 = 666.

It is a super-2 number, since 2×142220653478102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121123530 + ... + 121240890.

It is an arithmetic number, because the mean of its divisors is an integer number (297231001200).

Almost surely, 214222065347810 is an apocalyptic number.

14222065347810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14222065347810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022784076800).

14222065347810 is an abundant number, since it is smaller than the sum of its proper divisors (23823502805790).

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

14222065347810 is a wasteful number, since it uses less digits than its factorization.

14222065347810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118793 (or 118787 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 14222065347810 in words is "fourteen trillion, two hundred twenty-two billion, sixty-five million, three hundred forty-seven thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 479 937 958 1437 1874 2395 2811 2874 4311 4685 4790 5622 7185 8433 8622 9370 12933 14055 14370 16866 21555 25299 25866 28110 42165 43110 50598 64665 84330 117361 126495 129330 234722 252990 352083 448823 586805 704166 897646 1056249 1173610 1346469 1760415 2112498 2244115 2692938 3168747 3520830 4039407 4488230 5281245 6337494 6732345 8078814 10562490 12118221 13464690 15843735 20197035 24236442 31687470 40394070 56215919 60591105 109967257 112431838 121182210 168647757 219934514 281079595 329901771 337295514 505943271 549836285 562159190 659803542 843238785 989705313 1011886542 1099672570 1517829813 1649508855 1686477570 1979410626 2529716355 2969115939 3035659626 3299017710 4948526565 5059432710 5938231878 7589149065 9897053130 14845579695 15178298130 29691159390 52674316103 105348632206 158022948309 263371580515 316045896618 474068844927 526743161030 790114741545 948137689854 1422206534781 1580229483090 2370344224635 2844413069562 4740688449270 7111032673905 14222065347810