Search a number
-
+
38947090144 = 254572663231
BaseRepresentation
bin100100010001011011…
…010110111011100000
310201112021211011201011
4210101123112323200
51114230423341034
625520403150304
72546100542524
oct442133267340
9121467734634
1038947090144
1115576687306
12766b375394
133898bab691
141c56809d84
15102e353864
hex9116d6ee0

38947090144 has 24 divisors (see below), whose sum is σ = 76844896128. Its totient is φ = 19430926080.

The previous prime is 38947090141. The next prime is 38947090177. The reversal of 38947090144 is 44109074983.

It is a super-3 number, since 3×389470901443 (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38947090141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316992 + ... + 1346239.

It is an arithmetic number, because the mean of its divisors is an integer number (3201870672).

Almost surely, 238947090144 is an apocalyptic number.

It is an amenable number.

38947090144 is a deficient number, since it is larger than the sum of its proper divisors (37897805984).

38947090144 is a wasteful number, since it uses less digits than its factorization.

38947090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663698 (or 2663690 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 38947090144 in words is "thirty-eight billion, nine hundred forty-seven million, ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 457 914 1828 3656 7312 14624 2663231 5326462 10652924 21305848 42611696 85223392 1217096567 2434193134 4868386268 9736772536 19473545072 38947090144