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14290291600 = 2452132748133
BaseRepresentation
bin11010100111100010…
…01000101110010000
31100212220201000210021
431103301020232100
5213231303312400
610322002313224
71014061321504
oct152361105620
940786630707
1014290291600
116073551652
122929958814
1314697baa60
14997c80304
1558987571a
hex353c48b90

14290291600 has 60 divisors (see below), whose sum is σ = 36973394836. Its totient is φ = 5276413440.

The previous prime is 14290291583. The next prime is 14290291607. The reversal of 14290291600 is 619209241.

It can be written as a sum of positive squares in 6 ways, for example, as 1698758656 + 12591532944 = 41216^2 + 112212^2 .

It is a super-3 number, since 3×142902916003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14290291607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368867 + ... + 1379266.

Almost surely, 214290291600 is an apocalyptic number.

14290291600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14290291600 is an abundant number, since it is smaller than the sum of its proper divisors (22683103236).

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

14290291600 is a wasteful number, since it uses less digits than its factorization.

14290291600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748164 (or 2748153 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 14290291600 in words is "fourteen billion, two hundred ninety million, two hundred ninety-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2748133 5496266 10992532 13740665 21985064 27481330 35725729 43970128 54962660 68703325 71451458 109925320 137406650 142902916 178628645 219850640 274813300 285805832 357257290 549626600 571611664 714514580 893143225 1099253200 1429029160 1786286450 2858058320 3572572900 7145145800 14290291600