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42343625040 = 2435592990369
BaseRepresentation
bin100111011011111000…
…000111000101010000
311001022000000000122220
4213123320013011100
51143204432000130
631241414501040
73026212605603
oct473370070520
9131260000586
1042343625040
1116a59966242
128258964780
133cba790242
14209995433a
15117c624410
hex9dbe07150

42343625040 has 80 divisors (see below), whose sum is σ = 133490116800. Its totient is φ = 11100246016.

The previous prime is 42343625039. The next prime is 42343625057. The reversal of 42343625040 is 4052634324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42343624992 and 42343625010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1481025 + ... + 1509344.

It is an arithmetic number, because the mean of its divisors is an integer number (1668626460).

Almost surely, 242343625040 is an apocalyptic number.

42343625040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42343625040 is an abundant number, since it is smaller than the sum of its proper divisors (91146491760).

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

42343625040 is a wasteful number, since it uses less digits than its factorization.

42343625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990444 (or 2990438 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 42343625040 in words is "forty-two billion, three hundred forty-three million, six hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 2990369 5980738 8971107 11961476 14951845 17942214 23922952 29903690 35884428 44855535 47845904 59807380 71768856 89711070 119614760 143537712 176431771 179422140 239229520 352863542 358844280 529295313 705727084 717688560 882158855 1058590626 1411454168 1764317710 2117181252 2646476565 2822908336 3528635420 4234362504 5292953130 7057270840 8468725008 10585906260 14114541680 21171812520 42343625040