Search a number
-
+
15201318441248 = 2531104591465141
BaseRepresentation
bin1101110100110101010100…
…1011111001000100100000
31222211020021000111211010022
43131031111023321010200
53443024300010104443
652155220030253012
73126154561541462
oct335152513710440
958736230454108
1015201318441248
11493092aa65145
12185614a957168
1386362a7326b4
143a7a67b18132
151b564b71ce68
hexdd3552f9120

15201318441248 has 48 divisors (see below), whose sum is σ = 30895976805120. Its totient is φ = 7354768377600.

The previous prime is 15201318441247. The next prime is 15201318441301. The reversal of 15201318441248 is 84214481310251.

It is a junction number, because it is equal to n+sod(n) for n = 15201318441199 and 15201318441208.

It is not an unprimeable number, because it can be changed into a prime (15201318441247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9642758 + ... + 11107898.

It is an arithmetic number, because the mean of its divisors is an integer number (643666183440).

Almost surely, 215201318441248 is an apocalyptic number.

It is an amenable number.

15201318441248 is an abundant number, since it is smaller than the sum of its proper divisors (15694658363872).

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

15201318441248 is a wasteful number, since it uses less digits than its factorization.

15201318441248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475641 (or 1475633 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

Adding to 15201318441248 its reverse (84214481310251), we get a palindrome (99415799751499).

The spelling of 15201318441248 in words is "fifteen trillion, two hundred one billion, three hundred eighteen million, four hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 10459 20918 41836 83672 167344 324229 334688 648458 1296916 1465141 2593832 2930282 5187664 5860564 10375328 11721128 23442256 45419371 46884512 90838742 181677484 363354968 726709936 1453419872 15323909719 30647819438 61295638876 122591277752 245182555504 475041201289 490365111008 950082402578 1900164805156 3800329610312 7600659220624 15201318441248