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14101413144 = 2337136456691
BaseRepresentation
bin11010010001000001…
…00111110100011000
31100101202022000020220
431020200213310120
5212334430210034
610251134120040
71006306014450
oct151040476430
940352260226
1014101413144
115a86975455
122896650020
131439628960
1497ab54d60
15577eb6749
hex348827d18

14101413144 has 64 divisors (see below), whose sum is σ = 43388970240. Its totient is φ = 3719053440.

The previous prime is 14101413097. The next prime is 14101413169. The reversal of 14101413144 is 44131410141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226162 + ... + 3230529.

It is an arithmetic number, because the mean of its divisors is an integer number (677952660).

Almost surely, 214101413144 is an apocalyptic number.

14101413144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14101413144 is an abundant number, since it is smaller than the sum of its proper divisors (29287557096).

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

14101413144 is a wasteful number, since it uses less digits than its factorization.

14101413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456720 (or 6456716 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14101413144 its reverse (44131410141), we get a palindrome (58232823285).

The spelling of 14101413144 in words is "fourteen billion, one hundred one million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6456691 12913382 19370073 25826764 38740146 45196837 51653528 77480292 83936983 90393674 135590511 154960584 167873966 180787348 251810949 271181022 335747932 361574696 503621898 542362044 587558881 671495864 1007243796 1084724088 1175117762 1762676643 2014487592 2350235524 3525353286 4700471048 7050706572 14101413144