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42420240440 = 2352346579901
BaseRepresentation
bin100111100000011100…
…011000000000111000
311001111100011111020022
4213200130120000320
51143334040143230
631253152550012
73031133044244
oct474034300070
9131440144208
1042420240440
1116a99135556
12827a552308
134000606bb6
1420a5bb9424
15118420a1e5
hex9e0718038

42420240440 has 64 divisors (see below), whose sum is σ = 99626794560. Its totient is φ = 16225228800.

The previous prime is 42420240433. The next prime is 42420240487. The reversal of 42420240440 is 4404202424.

It is a super-2 number, since 2×424202404402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4279490 + ... + 4289390.

It is an arithmetic number, because the mean of its divisors is an integer number (1556668665).

Almost surely, 242420240440 is an apocalyptic number.

42420240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42420240440 is an abundant number, since it is smaller than the sum of its proper divisors (57206554120).

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

42420240440 is a wasteful number, since it uses less digits than its factorization.

42420240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42420240440 its reverse (4404202424), we get a palindrome (46824442864).

The spelling of 42420240440 in words is "forty-two billion, four hundred twenty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 4657 9314 9901 18628 19802 23285 37256 39604 46570 49505 79208 93140 99010 107111 186280 198020 214222 227723 396040 428444 455446 535555 856888 910892 1071110 1138615 1821784 2142220 2277230 4284440 4554460 9108920 46108957 92217914 184435828 230544785 368871656 461089570 922179140 1060506011 1844358280 2121012022 4242024044 5302530055 8484048088 10605060110 21210120220 42420240440