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14202214312 = 23112132938917
BaseRepresentation
bin11010011101000010…
…01001011110101000
31100122202222020110111
431032201021132220
5213041231324222
610305134424104
71011641554426
oct151641113650
940582866414
1014202214312
116028863900
122904362034
131454490010
1498a2b4116
15581c78777
hex34e8497a8

14202214312 has 96 divisors (see below), whose sum is σ = 32609392200. Its totient is φ = 5753341440.

The previous prime is 14202214303. The next prime is 14202214337. The reversal of 14202214312 is 21341220241.

It can be written as a sum of positive squares in 4 ways, for example, as 6904612836 + 7297601476 = 83094^2 + 85426^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345478 + ... + 384394.

Almost surely, 214202214312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14202214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304696100).

14202214312 is an abundant number, since it is smaller than the sum of its proper divisors (18407177888).

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

14202214312 is a wasteful number, since it uses less digits than its factorization.

14202214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38987 (or 38972 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14202214312 its reverse (21341220241), we get a palindrome (35543434553).

The spelling of 14202214312 in words is "fourteen billion, two hundred two million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 29 44 52 58 88 104 116 121 143 232 242 286 319 377 484 572 638 754 968 1144 1276 1508 1573 2552 3016 3146 3509 4147 6292 7018 8294 12584 14036 16588 28072 33176 38917 45617 77834 91234 155668 182468 311336 364936 428087 505921 856174 1011842 1128593 1712348 2023684 2257186 3424696 4047368 4514372 4708957 5565131 9028744 9417914 11130262 12414523 14671709 18835828 22260524 24829046 29343418 37671656 44521048 49658092 58686836 61216441 99316184 117373672 122432882 136559753 161388799 244865764 273119506 322777598 489731528 546239012 645555196 1092478024 1291110392 1775276789 3550553578 7101107156 14202214312