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42233440320 = 2632514664389
BaseRepresentation
bin100111010101010011…
…110010100001000000
311001000022200001122100
4213111103302201000
51142443230042240
631222441110400
73023404214421
oct472523624100
9131008601570
1042233440320
1116a02748895
128227a88400
133ca09c1a96
142089071648
151172b0be30
hex9d54f2840

42233440320 has 84 divisors (see below), whose sum is σ = 145265447340. Its totient is φ = 11262249984.

The previous prime is 42233440313. The next prime is 42233440349. The reversal of 42233440320 is 2304433224.

42233440320 is a `hidden beast` number, since 4 + 2 + 2 + 334 + 4 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8365663296 + 33867777024 = 91464^2 + 184032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7329315 + ... + 7335074.

Almost surely, 242233440320 is an apocalyptic number.

42233440320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233440320 is an abundant number, since it is smaller than the sum of its proper divisors (103032007020).

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

42233440320 is a wasteful number, since it uses less digits than its factorization.

42233440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14664412 (or 14664399 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42233440320 its reverse (2304433224), we get a palindrome (44537873544).

The spelling of 42233440320 in words is "forty-two billion, two hundred thirty-three million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14664389 29328778 43993167 58657556 73321945 87986334 117315112 131979501 146643890 175972668 219965835 234630224 263959002 293287780 351945336 439931670 469260448 527918004 586575560 659897505 703890672 879863340 938520896 1055836008 1173151120 1319795010 1407781344 1759726680 2111672016 2346302240 2639590020 2815562688 3519453360 4223344032 4692604480 5279180040 7038906720 8446688064 10558360080 14077813440 21116720160 42233440320