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42043131144 = 23327194390469
BaseRepresentation
bin100111001001111101…
…110100010100001000
311000112001120100112100
4213021331310110020
51142101020144034
631151522113400
73015603501240
oct471175642410
9130461510470
1042043131144
1116915284783
1281941ab860
133c7044b6c1
14206ba92b20
151161069099
hex9c9f74508

42043131144 has 96 divisors (see below), whose sum is σ = 136982664000. Its totient is φ = 11380093056.

The previous prime is 42043131139. The next prime is 42043131149. The reversal of 42043131144 is 44113134024.

42043131144 is a `hidden beast` number, since 4 + 204 + 313 + 1 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (42043131139) and next prime (42043131149).

It is not an unprimeable number, because it can be changed into a prime (42043131149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2185659 + ... + 2204810.

It is an arithmetic number, because the mean of its divisors is an integer number (1426902750).

Almost surely, 242043131144 is an apocalyptic number.

It is an amenable number.

42043131144 is an abundant number, since it is smaller than the sum of its proper divisors (94939532856).

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

42043131144 is a wasteful number, since it uses less digits than its factorization.

42043131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390507 (or 4390500 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42043131144 its reverse (44113134024), we get a palindrome (86156265168).

The spelling of 42043131144 in words is "forty-two billion, forty-three million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 4390469 8780938 13171407 17561876 26342814 30733283 35123752 39514221 52685628 61466566 79028442 83418911 92199849 105371256 122933132 158056884 166837822 184399698 245866264 250256733 276599547 316113768 333675644 368799396 500513466 553199094 583932377 667351288 737598792 750770199 1001026932 1106398188 1167864754 1501540398 1751797131 2002053864 2212796376 2335729508 3003080796 3503594262 4671459016 5255391393 6006161592 7007188524 10510782786 14014377048 21021565572 42043131144