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42422242320414 = 23211835897437743
BaseRepresentation
bin10011010010101001100101…
…01011110010000000011110
312120012112020000012011212100
421221110302223302000132
521030021223013223124
6230120301543345530
711635622466050025
oct1151246253620036
9176175200164770
1042422242320414
1112576198931840
12491186b1522a6
131a895285731b8
14a693671498bc
154d877713a1c9
hex269532af201e

42422242320414 has 96 divisors (see below), whose sum is σ = 101496276370944. Its totient is φ = 12698160013440.

The previous prime is 42422242320391. The next prime is 42422242320533. The reversal of 42422242320414 is 41402324222424.

42422242320414 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 2 + 4 + 232 + 0 + 414 = 666.

It is a super-2 number, since 2×424222423204142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96692427 + ... + 97130169.

It is an arithmetic number, because the mean of its divisors is an integer number (1057252878864).

Almost surely, 242422242320414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42422242320414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50748138185472).

42422242320414 is an abundant number, since it is smaller than the sum of its proper divisors (59074034050530).

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

42422242320414 is a wasteful number, since it uses less digits than its factorization.

42422242320414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443742 (or 443739 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42422242320414 its reverse (41402324222424), we get a palindrome (83824566542838).

The spelling of 42422242320414 in words is "forty-two trillion, four hundred twenty-two billion, two hundred forty-two million, three hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2739 5478 5897 8217 11794 16434 17691 35382 53073 64867 106146 129734 194601 389202 437743 489451 583803 875486 978902 1167606 1313229 1468353 2626458 2936706 3939687 4405059 4815173 5383961 7879374 8810118 9630346 10767922 14445519 16151883 28891038 32303766 36332669 43336557 48455649 72665338 86673114 96911298 108998007 217996014 326994021 399659359 653988042 799318718 1198978077 2397956154 2581370471 3596934231 5162740942 7193868462 7744111413 15488222826 23232334239 28395075181 46464668478 56790150362 85185225543 170370451086 214253749093 255555676629 428507498186 511111353258 642761247279 1285522494558 1928283741837 2356791240023 3856567483674 4713582480046 7070373720069 14140747440138 21211121160207 42422242320414