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42042321240 = 23351721212293
BaseRepresentation
bin100111001001111010…
…101110100101011000
311000112000001012112220
4213021322232211120
51142100313234430
631151452504040
73015563556063
oct471172564530
9130460035486
1042042321240
1116914881237
128193a7b020
133c70226b7a
14206b9218da
151160e59110
hex9c9eae958

42042321240 has 96 divisors (see below), whose sum is σ = 133982732880. Its totient is φ = 10551789568.

The previous prime is 42042321239. The next prime is 42042321247. The reversal of 42042321240 is 4212324024.

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 42042321240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42042321247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571467 + ... + 640826.

Almost surely, 242042321240 is an apocalyptic number.

42042321240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042321240 is an abundant number, since it is smaller than the sum of its proper divisors (91940411640).

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

42042321240 is a wasteful number, since it uses less digits than its factorization.

42042321240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212341 (or 1212320 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42042321240 its reverse (4212324024), we get a palindrome (46254645264).

The spelling of 42042321240 in words is "forty-two billion, forty-two million, three hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 1212293 2424586 3636879 4849172 6061465 7273758 9698344 12122930 14547516 18184395 20608981 24245860 29095032 36368790 41217962 48491720 61826943 72737580 82435924 103044905 123653886 145475160 164871848 206089810 247307772 309134715 350352677 412179620 494615544 618269430 700705354 824359240 1051058031 1236538860 1401410708 1751763385 2102116062 2473077720 2802821416 3503526770 4204232124 5255290155 7007053540 8408464248 10510580310 14014107080 21021160620 42042321240