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14032240152 = 2337213985843
BaseRepresentation
bin11010001000110001…
…01111111000011000
31100012221010122202020
431010120233320120
5212214223141102
610240223334440
71004506034100
oct150430577030
940187118666
1014032240152
115a50919797
122877451420
1314281b96a8
149718aa200
15571da0bbc
hex34462fe18

14032240152 has 96 divisors (see below), whose sum is σ = 41102107200. Its totient is φ = 3980321856.

The previous prime is 14032240151. The next prime is 14032240153. The reversal of 14032240152 is 25104223041.

It is an interprime number because it is at equal distance from previous prime (14032240151) and next prime (14032240153).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032240151) 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, 120543 + ... + 206385.

It is an arithmetic number, because the mean of its divisors is an integer number (428146950).

Almost surely, 214032240152 is an apocalyptic number.

14032240152 is a gapful number since it is divisible by the number (12) 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 14032240152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20551053600).

14032240152 is an abundant number, since it is smaller than the sum of its proper divisors (27069867048).

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

14032240152 is a wasteful number, since it uses less digits than its factorization.

14032240152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86005 (or 85994 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 14032240152 its reverse (25104223041), we get a palindrome (39136463193).

The spelling of 14032240152 in words is "fourteen billion, thirty-two million, two hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 139 147 168 196 278 294 392 417 556 588 834 973 1112 1176 1668 1946 2919 3336 3892 5838 6811 7784 11676 13622 20433 23352 27244 40866 54488 81732 85843 163464 171686 257529 343372 515058 600901 686744 1030116 1201802 1802703 2060232 2403604 3605406 4206307 4807208 7210812 8412614 11932177 12618921 14421624 16825228 23864354 25237842 33650456 35796531 47728708 50475684 71593062 83525239 95457416 100951368 143186124 167050478 250575717 286372248 334100956 501151434 584676673 668201912 1002302868 1169353346 1754030019 2004605736 2338706692 3508060038 4677413384 7016120076 14032240152