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42442762040 = 23572322729033
BaseRepresentation
bin100111100001110010…
…010010011100111000
311001112220112201001122
4213201302102130320
51143410321341130
631255315404412
73031525345010
oct474162223470
9131486481048
1042442762040
1116aaa918348
128285bb3708
134005190ca3
1420a8b9cc40
1511861a82e5
hex9e1c92738

42442762040 has 128 divisors (see below), whose sum is σ = 114389314560. Its totient is φ = 13857321984.

The previous prime is 42442762031. The next prime is 42442762073. The reversal of 42442762040 is 4026724424.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 1447364 + ... + 1476396.

It is an arithmetic number, because the mean of its divisors is an integer number (893666520).

Almost surely, 242442762040 is an apocalyptic number.

42442762040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442762040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57194657280).

42442762040 is an abundant number, since it is smaller than the sum of its proper divisors (71946552520).

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

42442762040 is a wasteful number, since it uses less digits than its factorization.

42442762040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29301 (or 29297 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 35.

The spelling of 42442762040 in words is "forty-two billion, four hundred forty-two million, seven hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 227 230 280 322 454 460 644 805 908 920 1135 1288 1589 1610 1816 2270 3178 3220 4540 5221 6356 6440 7945 9080 10442 12712 15890 20884 26105 29033 31780 36547 41768 52210 58066 63560 73094 104420 116132 145165 146188 182735 203231 208840 232264 290330 292376 365470 406462 580660 667759 730940 812924 1016155 1161320 1335518 1461880 1625848 2032310 2671036 3338795 4064620 4674313 5342072 6590491 6677590 8129240 9348626 13180982 13355180 18697252 23371565 26361964 26710360 32952455 37394504 46133437 46743130 52723928 65904910 92266874 93486260 131809820 151581293 184533748 186972520 230667185 263619640 303162586 369067496 461334370 606325172 757906465 922668740 1061069051 1212650344 1515812930 1845337480 2122138102 3031625860 4244276204 5305345255 6063251720 8488552408 10610690510 21221381020 42442762040