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40042322323320 = 2335940335487187
BaseRepresentation
bin10010001101011000101000…
…11001011110011101111000
312020210000020021211210111210
421012230110121132131320
520222023134003321240
6221055104450323120
711301651034622322
oct1106542431363570
9166700207753453
1040042322323320
1111838943060a89
1245a85788894a0
131945c89809c25
149c60b7286612
154968d5534780
hex246b1465e778

40042322323320 has 64 divisors (see below), whose sum is σ = 120139745742720. Its totient is φ = 10676816728704.

The previous prime is 40042322323319. The next prime is 40042322323337. The reversal of 40042322323320 is 2332322324004.

40042322323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16615234 + ... + 18871953.

It is an arithmetic number, because the mean of its divisors is an integer number (1877183527230).

Almost surely, 240042322323320 is an apocalyptic number.

40042322323320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042322323320 is an abundant number, since it is smaller than the sum of its proper divisors (80097423419400).

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

40042322323320 is a wasteful number, since it uses less digits than its factorization.

40042322323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35496604 (or 35496600 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 40042322323320 its reverse (2332322324004), we get a palindrome (42374644647324).

The spelling of 40042322323320 in words is "forty trillion, forty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9403 18806 28209 37612 47015 56418 75224 94030 112836 141045 188060 225672 282090 376120 564180 1128360 35487187 70974374 106461561 141948748 177435935 212923122 283897496 354871870 425846244 532307805 709743740 851692488 1064615610 1419487480 2129231220 4258462440 333686019361 667372038722 1001058058083 1334744077444 1668430096805 2002116116166 2669488154888 3336860193610 4004232232332 5005290290415 6673720387220 8008464464664 10010580580830 13347440774440 20021161161660 40042322323320