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3134914944 = 27372166609
BaseRepresentation
bin1011101011011011…
…0000000110000000
322002110220011211220
42322312300012000
522410014234234
61235024035040
7140454223500
oct27266600600
98073804756
103134914944
111369639aa7
12735a62a80
133ac631175
1421a4c5a00
15135343a49
hexbadb0180

3134914944 has 96 divisors (see below), whose sum is σ = 9686705400. Its totient is φ = 895684608.

The previous prime is 3134914921. The next prime is 3134914949. The reversal of 3134914944 is 4494194313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31349149442 = 19655383412229046272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3134914896 and 3134914905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134914949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64489 + ... + 102120.

Almost surely, 23134914944 is an apocalyptic number.

It is an amenable number.

3134914944 is an abundant number, since it is smaller than the sum of its proper divisors (6551790456).

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

3134914944 is a wasteful number, since it uses less digits than its factorization.

3134914944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166640 (or 166621 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 3134914944 is about 55990.3111618430. The cubic root of 3134914944 is about 1463.5534485652.

The spelling of 3134914944 in words is "three billion, one hundred thirty-four million, nine hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 166609 333218 499827 666436 999654 1166263 1332872 1999308 2332526 2665744 3498789 3998616 4665052 5331488 6997578 7997232 8163841 9330104 10662976 13995156 15994464 16327682 18660208 21325952 24491523 27990312 31988928 32655364 37320416 48983046 55980624 63977856 65310728 74640832 97966092 111961248 130621456 149281664 195932184 223922496 261242912 391864368 447844992 522485824 783728736 1044971648 1567457472 3134914944