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14034056100 = 22352239195733
BaseRepresentation
bin11010001000111111…
…01011001110100100
31100020001112220202120
431010133223032210
5212220204243400
610240330305540
71004530336311
oct150437531644
940201486676
1014034056100
115a5194a079
122877b882b0
1314286a410c
14971c1dd08
1557210dca0
hex3447eb3a4

14034056100 has 72 divisors (see below), whose sum is σ = 40775306880. Its totient is φ = 3726737280.

The previous prime is 14034056093. The next prime is 14034056107. The reversal of 14034056100 is 165043041.

It is an interprime number because it is at equal distance from previous prime (14034056093) and next prime (14034056107).

It is not an unprimeable number, because it can be changed into a prime (14034056107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26167 + ... + 169566.

Almost surely, 214034056100 is an apocalyptic number.

14034056100 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 14034056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387653440).

14034056100 is an abundant number, since it is smaller than the sum of its proper divisors (26741250780).

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

14034056100 is a wasteful number, since it uses less digits than its factorization.

14034056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195989 (or 195982 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14034056100 its reverse (165043041), we get a palindrome (14199099141).

The spelling of 14034056100 in words is "fourteen billion, thirty-four million, fifty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 239 300 478 717 956 1195 1434 2390 2868 3585 4780 5975 7170 11950 14340 17925 23900 35850 71700 195733 391466 587199 782932 978665 1174398 1957330 2348796 2935995 3914660 4893325 5871990 9786650 11743980 14679975 19573300 29359950 46780187 58719900 93560374 140340561 187120748 233900935 280681122 467801870 561362244 701702805 935603740 1169504675 1403405610 2339009350 2806811220 3508514025 4678018700 7017028050 14034056100