Search a number
-
+
3149312544 = 253271562159
BaseRepresentation
bin1011101110110110…
…1011001000100000
322010110222122122100
42323231223020200
522422211000134
61240300410400
7141020500140
oct27355531040
98113878570
103149312544
111376783144
1273a846a00
133b2602561
1421c392920
15136739999
hexbbb6b220

3149312544 has 72 divisors (see below), whose sum is σ = 10235272320. Its totient is φ = 899803008.

The previous prime is 3149312527. The next prime is 3149312549. The reversal of 3149312544 is 4452139413.

3149312544 is a `hidden beast` number, since 3 + 1 + 493 + 125 + 44 = 666.

3149312544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3149312499 and 3149312508.

It is not an unprimeable number, because it can be changed into a prime (3149312549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 779064 + ... + 783095.

It is an arithmetic number, because the mean of its divisors is an integer number (142156560).

Almost surely, 23149312544 is an apocalyptic number.

It is an amenable number.

3149312544 is an abundant number, since it is smaller than the sum of its proper divisors (7085959776).

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

3149312544 is a wasteful number, since it uses less digits than its factorization.

3149312544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562182 (or 1562171 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3149312544 is about 56118.7361226177. The cubic root of 3149312544 is about 1465.7905619840.

The spelling of 3149312544 in words is "three billion, one hundred forty-nine million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1562159 3124318 4686477 6248636 9372954 10935113 12497272 14059431 18745908 21870226 24994544 28118862 32805339 37491816 43740452 49989088 56237724 65610678 74983632 87480904 98416017 112475448 131221356 149967264 174961808 196832034 224950896 262442712 349923616 393664068 449901792 524885424 787328136 1049770848 1574656272 3149312544