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40132112020 = 225711132004601
BaseRepresentation
bin100101011000000011…
…110110111010010100
310211120212122112010021
4211120003312322110
51124142310041040
630234134234524
72620340216020
oct453003667224
9124525575107
1040132112020
1116024592830
1279401b5a44
133a2755a460
141d29d5b380
15109d3d124a
hex9580f6e94

40132112020 has 96 divisors (see below), whose sum is σ = 113155773696. Its totient is φ = 11546496000.

The previous prime is 40132112011. The next prime is 40132112021. The reversal of 40132112020 is 2021123104.

It is a super-2 number, since 2×401321120202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40132111985 and 40132112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132112021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 982281 + ... + 1022320.

It is an arithmetic number, because the mean of its divisors is an integer number (1178705976).

Almost surely, 240132112020 is an apocalyptic number.

It is an amenable number.

40132112020 is an abundant number, since it is smaller than the sum of its proper divisors (73023661676).

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

40132112020 is a wasteful number, since it uses less digits than its factorization.

40132112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004641 (or 2004639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40132112020 its reverse (2021123104), we get a palindrome (42153235124).

The spelling of 40132112020 in words is "forty billion, one hundred thirty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 2004601 4009202 8018404 10023005 14032207 20046010 22050611 26059813 28064414 40092020 44101222 52119626 56128828 70161035 88202444 104239252 110253055 130299065 140322070 154354277 182418691 220506110 260598130 280644140 286657943 308708554 364837382 441012220 521196260 573315886 617417108 729674764 771771385 912093455 1146631772 1433289715 1543542770 1824186910 2006605601 2866579430 3087085540 3648373820 4013211202 5733158860 8026422404 10033028005 20066056010 40132112020