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42040312000 = 265319276581
BaseRepresentation
bin100111001001110011…
…000100000011000000
311000111212021010101121
4213021303010003000
51142044304441000
631151341442024
73015540520201
oct471163040300
9130455233347
1042040312000
1116913729705
128193270314
133c6c9a247b
14206b55b5a8
151160badb1a
hex9c9cc40c0

42040312000 has 112 divisors (see below), whose sum is σ = 109592851680. Its totient is φ = 15931008000.

The previous prime is 42040311919. The next prime is 42040312009. The reversal of 42040312000 is 21304024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42040312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13710 + ... + 290290.

Almost surely, 242040312000 is an apocalyptic number.

42040312000 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 42040312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54796425840).

42040312000 is an abundant number, since it is smaller than the sum of its proper divisors (67552539680).

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

42040312000 is a wasteful number, since it uses less digits than its factorization.

42040312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276627 (or 276607 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42040312000 its reverse (21304024), we get a palindrome (42061616024).

The spelling of 42040312000 in words is "forty-two billion, forty million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9500 15200 19000 30400 38000 76000 152000 276581 553162 1106324 1382905 2212648 2765810 4425296 5255039 5531620 6914525 8850592 10510078 11063240 13829050 17701184 21020156 22126480 26275195 27658100 34572625 42040312 44252960 52550390 55316200 69145250 84080624 88505920 105100780 110632400 131375975 138290500 168161248 210201560 221264800 262751950 276581000 336322496 420403120 442529600 525503900 553162000 656879875 840806240 1051007800 1106324000 1313759750 1681612480 2102015600 2212648000 2627519500 4204031200 5255039000 8408062400 10510078000 21020156000 42040312000