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42366039144 = 233111331398207
BaseRepresentation
bin100111011101001101…
…100111010001101000
311001100120011210000220
4213131031213101220
51143231201223034
631243535130040
73026604251052
oct473515472150
9131316153026
1042366039144
1116a705852a0
128264373920
133cc230a420
14209c90a8d2
15117e5a0749
hex9dd367468

42366039144 has 128 divisors (see below), whose sum is σ = 128445972480. Its totient is φ = 11468332800.

The previous prime is 42366039143. The next prime is 42366039161. The reversal of 42366039144 is 44193066324.

It is a junction number, because it is equal to n+sod(n) for n = 42366039096 and 42366039105.

It is not an unprimeable number, because it can be changed into a prime (42366039143) 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 31 ways as a sum of consecutive naturals, for example, 92712 + ... + 305495.

It is an arithmetic number, because the mean of its divisors is an integer number (1003484160).

Almost surely, 242366039144 is an apocalyptic number.

42366039144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42366039144 is an abundant number, since it is smaller than the sum of its proper divisors (86079933336).

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

42366039144 is a wasteful number, since it uses less digits than its factorization.

42366039144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398271 (or 398267 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 42366039144 in words is "forty-two billion, three hundred sixty-six million, thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 4092 4433 4836 8184 8866 9672 13299 17732 26598 35464 53196 106392 398207 796414 1194621 1592828 2389242 3185656 4380277 4778484 5176691 8760554 9556968 10353382 12344417 13140831 15530073 17521108 20706764 24688834 26281662 31060146 35042216 37033251 41413528 49377668 52563324 56943601 62120292 74066502 98755336 105126648 113887202 124240584 135788587 148133004 160477421 170830803 227774404 271577174 296266008 320954842 341661606 407365761 455548808 481432263 543154348 641909684 683323212 814731522 962864526 1086308696 1283819368 1366646424 1629463044 1765251631 1925729052 3258926088 3530503262 3851458104 5295754893 7061006524 10591509786 14122013048 21183019572 42366039144