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42312310444040 = 23571323505402657
BaseRepresentation
bin10011001111011100110100…
…01110111101000000001000
312112211000110122222020112112
421213232122032331000020
521021221102433202130
6225554001310001452
711624651332366520
oct1147563216750010
9175730418866475
1042312310444040
1112533606190a4a
1248b44ab1a6288
131a7c059208a40
14a63cd901a680
154d5990eec495
hex267b9a3bd008

42312310444040 has 128 divisors (see below), whose sum is σ = 122267011023360. Its totient is φ = 12808924913664.

The previous prime is 42312310444031. The next prime is 42312310444091. The reversal of 42312310444040 is 4044401321324.

It is a super-2 number, since 2×423123104440402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42312310443988 and 42312310444006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252617609 + ... + 252785048.

It is an arithmetic number, because the mean of its divisors is an integer number (955211023620).

Almost surely, 242312310444040 is an apocalyptic number.

42312310444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42312310444040 is an abundant number, since it is smaller than the sum of its proper divisors (79954700579320).

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

42312310444040 is a wasteful number, since it uses less digits than its factorization.

42312310444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505402711 (or 505402707 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 42312310444040 its reverse (4044401321324), we get a palindrome (46356711765364).

The spelling of 42312310444040 in words is "forty-two trillion, three hundred twelve billion, three hundred ten million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1820 2093 2392 2990 3220 3640 4186 5980 6440 8372 10465 11960 16744 20930 41860 83720 505402657 1010805314 2021610628 2527013285 3537818599 4043221256 5054026570 6570234541 7075637198 10108053140 11624261111 13140469082 14151274396 17689092995 20216106280 23248522222 26280938164 28302548792 32851172705 35378185990 45991641787 46497044444 52561876328 58121305555 65702345410 70756371980 81369827777 91983283574 92994088888 116242611110 131404690820 141512743960 151115394443 162739655554 183966567148 229958208935 232485222220 262809381640 302230788886 325479311108 367933134296 406849138885 459916417870 464970444440 604461577772 650958622216 755576972215 813698277770 919832835740 1057807761101 1208923155544 1511153944430 1627396555540 1839665671480 2115615522202 3022307888860 3254793111080 4231231044404 5289038805505 6044615777720 8462462088808 10578077611010 21156155222020 42312310444040