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14126757102 = 2333137613739
BaseRepresentation
bin11010010100000010…
…10011010011101110
31100110111222121122000
431022001103103232
5212412422211402
610253441233130
71010034311523
oct151201232356
940414877560
1014126757102
115a9a205777
1228a30327a6
131441960593
1498027114a
1557a320c1c
hex34a0534ee

14126757102 has 128 divisors (see below), whose sum is σ = 33835929600. Its totient is φ = 4360003200.

The previous prime is 14126757083. The next prime is 14126757103. The reversal of 14126757102 is 20175762141.

14126757102 is a `hidden beast` number, since 14 + 12 + 67 + 571 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14126757103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3776349 + ... + 3780087.

It is an arithmetic number, because the mean of its divisors is an integer number (264343200).

Almost surely, 214126757102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14126757102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917964800).

14126757102 is an abundant number, since it is smaller than the sum of its proper divisors (19709172498).

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

14126757102 is a wasteful number, since it uses less digits than its factorization.

14126757102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 14126757102 in words is "fourteen billion, one hundred twenty-six million, seven hundred fifty-seven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 31 37 54 61 62 74 93 111 122 183 186 222 279 333 366 549 558 666 837 999 1098 1147 1647 1674 1891 1998 2257 2294 3294 3441 3739 3782 4514 5673 6771 6882 7478 10323 11217 11346 13542 17019 20313 20646 22434 30969 33651 34038 40626 51057 60939 61938 67302 69967 100953 102114 115909 121878 138343 139934 201906 209901 228079 231818 276686 347727 415029 419802 456158 629703 684237 695454 830058 1043181 1245087 1259406 1368474 1889109 2052711 2086362 2490174 3129543 3735261 3778218 4105422 4288633 6158133 6259086 7070449 7470522 8438923 8577266 12316266 12865899 14140898 16877846 21211347 25316769 25731798 38597697 42422694 50633538 63634041 75950307 77195394 115793091 127268082 151900614 190902123 227850921 231586182 261606613 381804246 455701842 523213226 784819839 1569639678 2354459517 4708919034 7063378551 14126757102