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14013042211220 = 225131728111282461
BaseRepresentation
bin1100101111101010101001…
…1001110011100110010100
31211121122010000010221010112
43023322222121303212110
53314042202301224340
645445300330542152
72644260151333013
oct313725231634624
954548100127115
1014013042211220
114512997010a48
1216a39a3597958
137a8568cb4ab0
14366340664a7a
151947a0ddc065
hexcbeaa673994

14013042211220 has 96 divisors (see below), whose sum is σ = 33674628941856. Its totient is φ = 4852360396800.

The previous prime is 14013042211163. The next prime is 14013042211247. The reversal of 14013042211220 is 2211224031041.

It can be written as a sum of positive squares in 16 ways, for example, as 2289731870596 + 11723310340624 = 1513186^2 + 3423932^2 .

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, 4399211 + ... + 6883250.

It is an arithmetic number, because the mean of its divisors is an integer number (350777384811).

Almost surely, 214013042211220 is an apocalyptic number.

14013042211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013042211220 is an abundant number, since it is smaller than the sum of its proper divisors (19661586730636).

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

14013042211220 is a wasteful number, since it uses less digits than its factorization.

14013042211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282781 (or 11282779 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14013042211220 its reverse (2211224031041), we get a palindrome (16224266242261).

The spelling of 14013042211220 in words is "fourteen trillion, thirteen billion, forty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 281 340 442 562 884 1105 1124 1405 2210 2810 3653 4420 4777 5620 7306 9554 14612 18265 19108 23885 36530 47770 62101 73060 95540 124202 248404 310505 621010 1242020 11282461 22564922 45129844 56412305 112824610 146671993 191801837 225649220 293343986 383603674 586687972 733359965 767207348 959009185 1466719930 1918018370 2493423881 2933439860 3170371541 3836036740 4986847762 6340743082 9973695524 12467119405 12681486164 15851857705 24934238810 31703715410 41214830033 49868477620 53896316197 63407430820 82429660066 107792632394 164859320132 206074150165 215585264788 269481580985 412148300330 538963161970 700652110561 824296600660 1077926323940 1401304221122 2802608442244 3503260552805 7006521105610 14013042211220