Search a number
-
+
14151957444 = 223622032
BaseRepresentation
bin11010010111000010…
…11011101111000100
31100112021101221000000
431023201123233010
5212440400114234
610300141321300
71010461440102
oct151341335704
940467357000
1014151957444
1160024580a9
1228ab566230
131446c44a21
14983750c72
1557c64c899
hex34b85bbc4

14151957444 has 63 divisors (see below), whose sum is σ = 37148764863. Its totient is φ = 4715177832.

The previous prime is 14151957439. The next prime is 14151957487. The reversal of 14151957444 is 44475915141.

The square root of 14151957444 is 118962.

It is a perfect power (a square), and thus also a powerful number.

14151957444 is a `hidden beast` number, since 1 + 4 + 15 + 195 + 7 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14151957444.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6422847 + ... + 6425049.

Almost surely, 214151957444 is an apocalyptic number.

14151957444 is the 118962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14151957444

14151957444 is an abundant number, since it is smaller than the sum of its proper divisors (22996807419).

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

14151957444 is an frugal number, since it uses more digits than its factorization.

14151957444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 2208 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 14151957444 in words is "fourteen billion, one hundred fifty-one million, nine hundred fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2203 2916 4406 6609 8812 13218 19827 26436 39654 59481 79308 118962 178443 237924 356886 535329 713772 1070658 1605987 2141316 3211974 4853209 6423948 9706418 14559627 19412836 29119254 43678881 58238508 87357762 131036643 174715524 262073286 393109929 524146572 786219858 1179329787 1572439716 2358659574 3537989361 4717319148 7075978722 14151957444