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42334420313040 = 24351311346514641
BaseRepresentation
bin10011010000000110000000…
…00101011010001111010000
312112220010112112120221221120
421220003000011122033100
521022101343100004130
6230012055245122240
711626363254233142
oct1150030005321720
9175803475527846
1042334420313040
1112541a21679859
1248b883b859380
131a81170a4856b
14a64dd55dac92
154d63370ce910
hex2680c015a3d0

42334420313040 has 80 divisors (see below), whose sum is σ = 132238509961536. Its totient is φ = 11203001804800.

The previous prime is 42334420313033. The next prime is 42334420313057. The reversal of 42334420313040 is 4031302443324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×423344203130402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42334420312992 and 42334420313010.

It is a congruent number.

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, 673225881 + ... + 673288760.

Almost surely, 242334420313040 is an apocalyptic number.

42334420313040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42334420313040 is an abundant number, since it is smaller than the sum of its proper divisors (89904089648496).

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

42334420313040 is a wasteful number, since it uses less digits than its factorization.

42334420313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346514788 (or 1346514782 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 42334420313040 its reverse (4031302443324), we get a palindrome (46365722756364).

The spelling of 42334420313040 in words is "forty-two trillion, three hundred thirty-four billion, four hundred twenty million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 1346514641 2693029282 4039543923 5386058564 6732573205 8079087846 10772117128 13465146410 16158175692 20197719615 21544234256 26930292820 32316351384 40395439230 53860585640 64632702768 80790878460 107721171280 161581756920 176393417971 323163513840 352786835942 529180253913 705573671884 881967089855 1058360507826 1411147343768 1763934179710 2116721015652 2645901269565 2822294687536 3527868359420 4233442031304 5291802539130 7055736718840 8466884062608 10583605078260 14111473437680 21167210156520 42334420313040