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14011291440 = 243356486709
BaseRepresentation
bin11010000110010001…
…10101011100110000
31100011110201100112000
431003020311130300
5212143342311230
610234154334000
71004133004116
oct150310653460
940143640460
1014011291440
115a40010703
12287042a300
131423a634c3
1496cbb5ab6
15570113b60
hex343235730

14011291440 has 80 divisors (see below), whose sum is σ = 48261122400. Its totient is φ = 3736343808.

The previous prime is 14011291403. The next prime is 14011291447. The reversal of 14011291440 is 4419211041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14011291447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3241195 + ... + 3245514.

It is an arithmetic number, because the mean of its divisors is an integer number (603264030).

Almost surely, 214011291440 is an apocalyptic number.

14011291440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011291440 is an abundant number, since it is smaller than the sum of its proper divisors (34249830960).

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

14011291440 is a wasteful number, since it uses less digits than its factorization.

14011291440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486731 (or 6486719 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14011291440 in words is "fourteen billion, eleven million, two hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 6486709 12973418 19460127 25946836 32433545 38920254 51893672 58380381 64867090 77840508 97300635 103787344 116760762 129734180 155681016 175141143 194601270 233521524 259468360 291901905 311362032 350282286 389202540 467043048 518936720 583803810 700564572 778405080 875705715 934086096 1167607620 1401129144 1556810160 1751411430 2335215240 2802258288 3502822860 4670430480 7005645720 14011291440