Search a number
-
+
14055001524 = 22335313717923
BaseRepresentation
bin11010001011011111…
…00100110110110100
31100021111222001111000
431011233210312310
5212241040022044
610242355243300
71005203353554
oct150557446664
940244861430
1014055001524
115a62755743
122882ba9530
13142cb28965
14974913164
15573d99d69
hex345be4db4

14055001524 has 96 divisors (see below), whose sum is σ = 37399501440. Its totient is φ = 4562797824.

The previous prime is 14055001523. The next prime is 14055001573. The reversal of 14055001524 is 42510055041.

14055001524 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 500 + 152 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055001523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775227 + ... + 793149.

It is an arithmetic number, because the mean of its divisors is an integer number (389578140).

Almost surely, 214055001524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14055001524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699750720).

14055001524 is an abundant number, since it is smaller than the sum of its proper divisors (23344499916).

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

14055001524 is a wasteful number, since it uses less digits than its factorization.

14055001524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 14055001524 its reverse (42510055041), we get a palindrome (56565056565).

The spelling of 14055001524 in words is "fourteen billion, fifty-five million, one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 137 159 212 274 318 411 477 548 636 822 954 1233 1431 1644 1908 2466 2862 3699 4932 5724 7261 7398 14522 14796 17923 21783 29044 35846 43566 53769 65349 71692 87132 107538 130698 161307 196047 215076 261396 322614 392094 483921 645228 784188 949919 967842 1899838 1935684 2455451 2849757 3799676 4910902 5699514 7366353 8549271 9821804 11399028 14732706 17098542 22099059 25647813 29465412 34197084 44198118 51295626 66297177 88396236 102591252 130138903 132594354 260277806 265188708 390416709 520555612 780833418 1171250127 1561666836 2342500254 3513750381 4685000508 7027500762 14055001524