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24263070040 = 2351125998369
BaseRepresentation
bin10110100110001100…
…010001000101011000
32022121221020122221201
4112212030101011120
5344142321220130
615051333443544
71516155456346
oct264614210530
968557218851
1024263070040
11a320963700
1248517a05b4
132398966aa1
141262558996
15970157bca
hex5a6311158

24263070040 has 96 divisors (see below), whose sum is σ = 60113340000. Its totient is φ = 8807152640.

The previous prime is 24263070031. The next prime is 24263070043. The reversal of 24263070040 is 4007036242.

It is a super-3 number, since 3×242630700403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24263069990 and 24263070008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24263070043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2894976 + ... + 2903344.

It is an arithmetic number, because the mean of its divisors is an integer number (626180625).

Almost surely, 224263070040 is an apocalyptic number.

24263070040 is a gapful number since it is divisible by the number (20) 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 24263070040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30056670000).

24263070040 is an abundant number, since it is smaller than the sum of its proper divisors (35850269960).

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

24263070040 is a wasteful number, since it uses less digits than its factorization.

24263070040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 24263070040 in words is "twenty-four billion, two hundred sixty-three million, seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 599 605 968 1198 1210 2396 2420 2995 4792 4840 5990 6589 8369 11980 13178 16738 23960 26356 32945 33476 41845 52712 65890 66952 72479 83690 92059 131780 144958 167380 184118 263560 289916 334760 362395 368236 460295 579832 724790 736472 920590 1012649 1449580 1841180 2025298 2899160 3682360 4050596 5013031 5063245 8101192 10026062 10126490 20052124 20252980 25065155 40104248 40505960 50130310 55143341 100260620 110286682 200521240 220573364 275716705 441146728 551433410 606576751 1102866820 1213153502 2205733640 2426307004 3032883755 4852614008 6065767510 12131535020 24263070040