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313441132440 = 23352612009437
BaseRepresentation
bin1001000111110101000…
…11000001111110011000
31002222001020210022011010
410203322203001332120
520113411412214230
6355554243133520
731434235444362
oct4437243017630
91088036708133
10313441132440
11110a25391017
12508b69742a0
1323732714007
14112562dbd32
1582476eb9b0
hex48fa8c1f98

313441132440 has 32 divisors (see below), whose sum is σ = 940323397680. Its totient is φ = 83584301952.

The previous prime is 313441132421. The next prime is 313441132469. The reversal of 313441132440 is 44231144313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313441132398 and 313441132407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306004599 + ... + 1306004838.

Almost surely, 2313441132440 is an apocalyptic number.

313441132440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313441132440 is an abundant number, since it is smaller than the sum of its proper divisors (626882265240).

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

313441132440 is a wasteful number, since it uses less digits than its factorization.

313441132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612009451 (or 2612009447 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 313441132440 its reverse (44231144313), we get a palindrome (357672276753).

The spelling of 313441132440 in words is "three hundred thirteen billion, four hundred forty-one million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2612009437 5224018874 7836028311 10448037748 13060047185 15672056622 20896075496 26120094370 31344113244 39180141555 52240188740 62688226488 78360283110 104480377480 156720566220 313441132440