Search a number
-
+
42333404023040 = 2851322311408407
BaseRepresentation
bin10011010000000100000111…
…00000100100100100000000
312112220000220201021002011012
421220002003200210210000
521022042302412214130
6230011410342340052
711626326134014424
oct1150020340444400
9175800821232135
1042333404023040
111254154aa3a069
1248b85b742a628
131a8103b326830
14a64d3a64cb84
154d62c7c81995
hex268083824900

42333404023040 has 144 divisors (see below), whose sum is σ = 109691569118208. Its totient is φ = 15560700715008.

The previous prime is 42333404023039. The next prime is 42333404023073. The reversal of 42333404023040 is 4032040433324.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42333404022988 and 42333404023006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993484 + ... + 9414923.

Almost surely, 242333404023040 is an apocalyptic number.

42333404023040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42333404023040 is an abundant number, since it is smaller than the sum of its proper divisors (67358165095168).

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

42333404023040 is a wasteful number, since it uses less digits than its factorization.

42333404023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408664 (or 11408650 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 42333404023040 its reverse (4032040433324), we get a palindrome (46365444456364).

The spelling of 42333404023040 in words is "forty-two trillion, three hundred thirty-three billion, four hundred four million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 223 256 260 320 416 446 520 640 832 892 1040 1115 1280 1664 1784 2080 2230 2899 3328 3568 4160 4460 5798 7136 8320 8920 11596 14272 14495 16640 17840 23192 28544 28990 35680 46384 57088 57980 71360 92768 115960 142720 185536 231920 285440 371072 463840 742144 927680 1855360 3710720 11408407 22816814 45633628 57042035 91267256 114084070 148309291 182534512 228168140 296618582 365069024 456336280 593237164 730138048 741546455 912672560 1186474328 1460276096 1483092910 1825345120 2372948656 2544074761 2920552192 2966185820 3650690240 4745897312 5088149522 5932371640 7301380480 9491794624 10176299044 11864743280 12720373805 14602760960 18983589248 20352598088 23729486560 25440747610 33072971893 37967178496 40705196176 47458973120 50881495220 66145943786 81410392352 94917946240 101762990440 132291887572 162820784704 165364859465 189835892480 203525980880 264583775144 325641569408 330729718930 407051961760 529167550288 651283138816 661459437860 814103923520 1058335100576 1322918875720 1628207847040 2116670201152 2645837751440 3256415694080 4233340402304 5291675502880 8466680804608 10583351005760 21166702011520 42333404023040