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14410134341220 = 22352926213159743
BaseRepresentation
bin1101000110110001111011…
…1100000100011001100100
31220000121002001001012101110
43101230132330010121210
53342043423342404340
650351531353225020
73015045363624642
oct321543674043144
956017061035343
1014410134341220
1146563381895a2
121748944a02170
13806b400581a7
1437b650564192
1519ec9238e680
hexd1b1ef04664

14410134341220 has 96 divisors (see below), whose sum is σ = 41755637790720. Its totient is φ = 3708778769920.

The previous prime is 14410134341167. The next prime is 14410134341243. The reversal of 14410134341220 is 2214343101441.

It is a happy number.

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

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, 2980669 + ... + 6140411.

It is an arithmetic number, because the mean of its divisors is an integer number (434954560320).

Almost surely, 214410134341220 is an apocalyptic number.

14410134341220 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 14410134341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20877818895360).

14410134341220 is an abundant number, since it is smaller than the sum of its proper divisors (27345503449500).

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

14410134341220 is a wasteful number, since it uses less digits than its factorization.

14410134341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162405 (or 3162403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14410134341220 its reverse (2214343101441), we get a palindrome (16624477442661).

The spelling of 14410134341220 in words is "fourteen trillion, four hundred ten billion, one hundred thirty-four million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 2621 5242 7863 10484 13105 15726 26210 31452 39315 52420 76009 78630 152018 157260 228027 304036 380045 456054 760090 912108 1140135 1520180 2280270 3159743 4560540 6319486 9479229 12638972 15798715 18958458 31597430 37916916 47396145 63194860 91632547 94792290 183265094 189584580 274897641 366530188 458162735 549795282 916325470 1099590564 1374488205 1832650940 2748976410 5497952820 8281686403 16563372806 24845059209 33126745612 41408432015 49690118418 82816864030 99380236836 124225296045 165633728060 240168905687 248450592090 480337811374 496901184180 720506717061 960675622748 1200844528435 1441013434122 2401689056870 2882026868244 3602533585305 4803378113740 7205067170610 14410134341220