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3131432514 = 233723493391
BaseRepresentation
bin1011101010100101…
…1101111001000010
322002020100020212000
42322221131321002
522403121320024
61234421244430
7140412510600
oct27251357102
98066306760
103131432514
111367680661
12734863716
133ab9b2062
14219c5a870
15134da6cc9
hexbaa5de42

3131432514 has 96 divisors (see below), whose sum is σ = 8120448000. Its totient is φ = 891868320.

The previous prime is 3131432489. The next prime is 3131432569. The reversal of 3131432514 is 4152341313.

It is a happy number.

3131432514 is a `hidden beast` number, since 3 + 1 + 3 + 143 + 2 + 514 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 921759 + ... + 925149.

It is an arithmetic number, because the mean of its divisors is an integer number (84588000).

Almost surely, 23131432514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131432514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060224000).

3131432514 is an abundant number, since it is smaller than the sum of its proper divisors (4989015486).

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

3131432514 is a wasteful number, since it uses less digits than its factorization.

3131432514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3752 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3131432514 is about 55959.2040150680. The cubic root of 3131432514 is about 1463.0113168084.

Adding to 3131432514 its reverse (4152341313), we get a palindrome (7283773827).

The spelling of 3131432514 in words is "three billion, one hundred thirty-one million, four hundred thirty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 349 378 441 698 882 1047 1323 2094 2443 2646 3141 3391 4886 6282 6782 7329 9423 10173 14658 17101 18846 20346 21987 23737 30519 34202 43974 47474 51303 61038 65961 71211 91557 102606 131922 142422 153909 166159 183114 213633 307818 332318 427266 461727 498477 640899 923454 996954 1183459 1281798 1495431 2366918 2990862 3550377 4486293 7100754 8284213 8972586 10651131 16568426 21302262 24852639 31953393 49705278 57989491 63906786 74557917 115978982 149115834 173968473 223673751 347936946 447347502 521905419 1043810838 1565716257 3131432514