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42259840440 = 23355333719717
BaseRepresentation
bin100111010110111000…
…011111110110111000
311001002011100022210120
4213112320133312320
51143022004343230
631225223013240
73024144500616
oct472670376670
9131064308716
1042259840440
1116a1663a674
12823489a220
133ca630635c
14208c7846b6
1511750c4310
hex9d6e1fdb8

42259840440 has 128 divisors (see below), whose sum is σ = 129561456960. Its totient is φ = 11023294464.

The previous prime is 42259840373. The next prime is 42259840463. The reversal of 42259840440 is 4404895224.

It is a super-3 number, since 3×422598404403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42259840392 and 42259840401.

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, 2133462 + ... + 2153178.

Almost surely, 242259840440 is an apocalyptic number.

42259840440 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 42259840440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64780728480).

42259840440 is an abundant number, since it is smaller than the sum of its proper divisors (87301616520).

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

42259840440 is a wasteful number, since it uses less digits than its factorization.

42259840440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20121 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 42259840440 in words is "forty-two billion, two hundred fifty-nine million, eight hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 337 424 530 636 674 795 1011 1060 1272 1348 1590 1685 2022 2120 2696 3180 3370 4044 5055 6360 6740 8088 10110 13480 17861 19717 20220 35722 39434 40440 53583 59151 71444 78868 89305 98585 107166 118302 142888 157736 178610 197170 214332 236604 267915 295755 357220 394340 428664 473208 535830 591510 714440 788680 1045001 1071660 1183020 2090002 2143320 2366040 3135003 4180004 5225005 6270006 6644629 8360008 10450010 12540012 13289258 15675015 19933887 20900020 25080024 26578516 31350030 33223145 39867774 41800040 53157032 62700060 66446290 79735548 99669435 125400120 132892580 159471096 199338870 265785160 352165337 398677740 704330674 797355480 1056496011 1408661348 1760826685 2112992022 2817322696 3521653370 4225984044 5282480055 7043306740 8451968088 10564960110 14086613480 21129920220 42259840440