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42132431040 = 263576269707
BaseRepresentation
bin100111001111010010…
…011110000011000000
311000202021121020221220
4213033102132003000
51142241400243130
631204432115040
73021036516630
oct471722360300
9130667536856
1042132431040
1116960728047
1281ba095a80
133c85ab6a8b
14207989a6c0
151168d08410
hex9cf49e0c0

42132431040 has 112 divisors (see below), whose sum is σ = 152880559872. Its totient is φ = 9630268416.

The previous prime is 42132431039. The next prime is 42132431057. The reversal of 42132431040 is 4013423124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×421324310403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42132431040.

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, 3128134 + ... + 3141573.

Almost surely, 242132431040 is an apocalyptic number.

42132431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42132431040 is an abundant number, since it is smaller than the sum of its proper divisors (110748128832).

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

42132431040 is a wasteful number, since it uses less digits than its factorization.

42132431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269734 (or 6269724 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42132431040 its reverse (4013423124), we get a palindrome (46145854164).

The spelling of 42132431040 in words is "forty-two billion, one hundred thirty-two million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 6269707 12539414 18809121 25078828 31348535 37618242 43887949 50157656 62697070 75236484 87775898 94045605 100315312 125394140 131663847 150472968 175551796 188091210 200630624 219439745 250788280 263327694 300945936 351103592 376182420 401261248 438879490 501576560 526655388 601891872 658319235 702207184 752364840 877758980 1003153120 1053310776 1203783744 1316638470 1404414368 1504729680 1755517960 2006306240 2106621552 2633276940 2808828736 3009459360 3511035920 4213243104 5266553880 6018918720 7022071840 8426486208 10533107760 14044143680 21066215520 42132431040