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42022838298504 = 23373141331952311
BaseRepresentation
bin10011000111000001101000…
…10110010110011110001000
312111210100021212001122010010
421203200310112112132020
521002000233101023004
6225213005253151520
711565023051634330
oct1143406426263610
9174710255048103
1042022838298504
1112431870760618
12486838362b5a0
131a5a976552c1b
14a53cb81a40c0
154cd19cc17a89
hex263834596788

42022838298504 has 128 divisors (see below), whose sum is σ = 123968375930880. Its totient is φ = 11616400684800.

The previous prime is 42022838298479. The next prime is 42022838298577. The reversal of 42022838298504 is 40589283822024.

It is a super-3 number, since 3×420228382985043 (a number of 42 digits) contains 333 as substring.

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, 20548509 + ... + 22500819.

It is an arithmetic number, because the mean of its divisors is an integer number (968502936960).

Almost surely, 242022838298504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42022838298504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61984187965440).

42022838298504 is an abundant number, since it is smaller than the sum of its proper divisors (81945537632376).

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

42022838298504 is a wasteful number, since it uses less digits than its factorization.

42022838298504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956491 (or 1956487 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 42022838298504 in words is "forty-two trillion, twenty-two billion, eight hundred thirty-eight million, two hundred ninety-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 4133 5208 8266 12399 16532 24798 28931 33064 49596 57862 86793 99192 115724 128123 173586 231448 256246 347172 384369 512492 694344 768738 896861 1024984 1537476 1793722 1952311 2690583 3074952 3587444 3904622 5381166 5856933 7174888 7809244 10762332 11713866 13666177 15618488 21524664 23427732 27332354 40998531 46855464 54664708 60521641 81997062 109329416 121043282 163994124 181564923 242086564 327988248 363129846 423651487 484173128 726259692 847302974 1270954461 1452519384 1694605948 2541908922 3389211896 5083817844 8068901363 10167635688 16137802726 24206704089 32275605452 48413408178 56482309541 64551210904 96826816356 112964619082 169446928623 193653632712 225929238164 250135942253 338893857246 451858476328 500271884506 677787714492 750407826759 1000543769012 1355575428984 1500815653518 1750951595771 2001087538024 3001631307036 3501903191542 5252854787313 6003262614072 7003806383084 10505709574626 14007612766168 21011419149252 42022838298504