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42320720640 = 2835111001911
BaseRepresentation
bin100111011010100000…
…101111001100000000
311001020101220100201210
4213122200233030000
51143133101030030
631235235530120
73025514122122
oct473240571400
9131211810653
1042320720640
1116a47a41890
128251159940
133cb5b00b43
1420968b1212
15117a5ecbb0
hex9da82f300

42320720640 has 144 divisors (see below), whose sum is σ = 147449385216. Its totient is φ = 10259558400.

The previous prime is 42320720599. The next prime is 42320720693. The reversal of 42320720640 is 4602702324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42320720598 and 42320720607.

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, 458716 + ... + 543195.

It is an arithmetic number, because the mean of its divisors is an integer number (1023954064).

Almost surely, 242320720640 is an apocalyptic number.

42320720640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42320720640 is an abundant number, since it is smaller than the sum of its proper divisors (105128664576).

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

42320720640 is a wasteful number, since it uses less digits than its factorization.

42320720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001946 (or 1001932 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 42320720640 in words is "forty-two billion, three hundred twenty million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 1001911 2003822 3005733 4007644 5009555 6011466 8015288 10019110 11021021 12022932 15028665 16030576 20038220 22042042 24045864 30057330 32061152 33063063 40076440 44084084 48091728 55105105 60114660 64122304 66126126 80152880 88168168 96183456 110210210 120229320 128244608 132252252 160305760 165315315 176336336 192366912 220420420 240458640 256489216 264504504 320611520 330630630 352672672 384733824 440840840 480917280 529009008 641223040 661261260 705345344 769467648 881681680 961834560 1058018016 1282446080 1322522520 1410690688 1763363360 1923669120 2116036032 2645045040 2821381376 3526726720 3847338240 4232072064 5290090080 7053453440 8464144128 10580180160 14106906880 21160360320 42320720640