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42430031040 = 2635115338333
BaseRepresentation
bin100111100001000001…
…101110010011000000
311001112000120220102010
4213201001232103000
51143344041443130
631254142452520
73031312212255
oct474101562300
9131460526363
1042430031040
1116aa3712361
128281894140
134002654357
1420a720742c
151184ee10b0
hex9e106e4c0

42430031040 has 112 divisors (see below), whose sum is σ = 134835704928. Its totient is φ = 11304566784.

The previous prime is 42430031023. The next prime is 42430031081. The reversal of 42430031040 is 4013003424.

It is a junction number, because it is equal to n+sod(n) for n = 42430030998 and 42430031016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087714 + ... + 1126046.

Almost surely, 242430031040 is an apocalyptic number.

42430031040 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 42430031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67417852464).

42430031040 is an abundant number, since it is smaller than the sum of its proper divisors (92405673888).

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

42430031040 is a wasteful number, since it uses less digits than its factorization.

42430031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39506 (or 39496 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42430031040 its reverse (4013003424), we get a palindrome (46443034464).

The spelling of 42430031040 in words is "forty-two billion, four hundred thirty million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1153 2306 3459 4612 5765 6918 9224 11530 13836 17295 18448 23060 27672 34590 36896 38333 46120 55344 69180 73792 76666 92240 110688 114999 138360 153332 184480 191665 221376 229998 276720 306664 368960 383330 459996 553440 574995 613328 766660 919992 1106880 1149990 1226656 1533320 1839984 2299980 2453312 3066640 3679968 4599960 6133280 7359936 9199920 12266560 18399840 36799680 44197949 88395898 132593847 176791796 220989745 265187694 353583592 441979490 530375388 662969235 707167184 883958980 1060750776 1325938470 1414334368 1767917960 2121501552 2651876940 2828668736 3535835920 4243003104 5303753880 7071671840 8486006208 10607507760 14143343680 21215015520 42430031040