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424231323320 = 235731316133001
BaseRepresentation
bin1100010110001100010…
…10000100011010111000
31111120000102002010122002
412023012022010122320
523422311204321240
6522520021320132
742435563515340
oct6130612043270
91446012063562
10424231323320
11153a08582242
126a276266048
133100a83b08c
1416766415d20
15b07dd7ed15
hex62c62846b8

424231323320 has 128 divisors (see below), whose sum is σ = 1095409146240. Its totient is φ = 144847872000.

The previous prime is 424231323311. The next prime is 424231323377. The reversal of 424231323320 is 23323132424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141361820 + ... + 141364820.

It is an arithmetic number, because the mean of its divisors is an integer number (8557883955).

Almost surely, 2424231323320 is an apocalyptic number.

424231323320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424231323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547704573120).

424231323320 is an abundant number, since it is smaller than the sum of its proper divisors (671177822920).

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

424231323320 is a wasteful number, since it uses less digits than its factorization.

424231323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 424231323320 its reverse (23323132424), we get a palindrome (447554455744).

The spelling of 424231323320 in words is "four hundred twenty-four billion, two hundred thirty-one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 313 626 1252 1565 1613 2191 2504 3001 3130 3226 4382 6002 6260 6452 8065 8764 10955 11291 12004 12520 12904 15005 16130 17528 21007 21910 22582 24008 30010 32260 42014 43820 45164 56455 60020 64520 84028 87640 90328 105035 112910 120040 168056 210070 225820 420140 451640 504869 840280 939313 1009738 1878626 2019476 2524345 3534083 3757252 4038952 4696565 4840613 5048690 6575191 7068166 7514504 9393130 9681226 10097380 13150382 14136332 17670415 18786260 19362452 20194760 24203065 26300764 28272664 32875955 33884291 35340830 37572520 38724904 48406130 52601528 65751910 67768582 70681660 96812260 131503820 135537164 141363320 169421455 193624520 263007640 271074328 338842910 677685820 1355371640 1515111869 3030223738 6060447476 7575559345 10605783083 12120894952 15151118690 21211566166 30302237380 42423132332 53028915415 60604474760 84846264664 106057830830 212115661660 424231323320