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40431175064 = 23710146715307
BaseRepresentation
bin100101101001111000…
…101100010110011000
310212100201101111111022
4211221320230112120
51130300340100224
630323540222012
72630631213650
oct455170542630
9125321344438
1040431175064
1116168387275
127a0439a908
133a744ba937
141d57969360
1510b97a765e
hex969e2c598

40431175064 has 64 divisors (see below), whose sum is σ = 87689122560. Its totient is φ = 17118230400.

The previous prime is 40431175003. The next prime is 40431175087. The reversal of 40431175064 is 46057113404.

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 15 ways as a sum of consecutive naturals, for example, 2633699 + ... + 2649005.

It is an arithmetic number, because the mean of its divisors is an integer number (1370142540).

Almost surely, 240431175064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40431175064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43844561280).

40431175064 is an abundant number, since it is smaller than the sum of its proper divisors (47257947496).

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

40431175064 is a wasteful number, since it uses less digits than its factorization.

40431175064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888 (or 15884 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 40431175064 its reverse (46057113404), we get a palindrome (86488288468).

The spelling of 40431175064 in words is "forty billion, four hundred thirty-one million, one hundred seventy-five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 467 707 808 934 1414 1868 2828 3269 3736 5656 6538 13076 15307 26152 30614 47167 61228 94334 107149 122456 188668 214298 330169 377336 428596 660338 857192 1320676 1546007 2641352 3092014 6184028 7148369 10822049 12368056 14296738 21644098 28593476 43288196 50038583 57186952 86576392 100077166 200154332 400308664 721985269 1443970538 2887941076 5053896883 5775882152 10107793766 20215587532 40431175064