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42412003335 = 32513234197523
BaseRepresentation
bin100111011111111100…
…111101000000000111
311001110202200000001100
4213133330331000013
51143324433101320
631252300231143
73031003036332
oct473774750007
9131422600040
1042412003335
1116a94519929
12827783b4b3
133ccb9b1880
1420a4a73619
15118362e790
hex9dff3d007

42412003335 has 96 divisors (see below), whose sum is σ = 82819376640. Its totient is φ = 19921625856.

The previous prime is 42412003297. The next prime is 42412003349. The reversal of 42412003335 is 53330021424.

42412003335 is a `hidden beast` number, since 424 + 1 + 200 + 3 + 3 + 35 = 666.

It is not a de Polignac number, because 42412003335 - 29 = 42412002823 is a prime.

It is a super-2 number, since 2×424120033352 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42412003299 and 42412003308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5633884 + ... + 5641406.

It is an arithmetic number, because the mean of its divisors is an integer number (862701840).

Almost surely, 242412003335 is an apocalyptic number.

42412003335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42412003335 is a deficient number, since it is larger than the sum of its proper divisors (40407373305).

42412003335 is a wasteful number, since it uses less digits than its factorization.

42412003335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 42412003335 its reverse (53330021424), we get a palindrome (95742024759).

The spelling of 42412003335 in words is "forty-two billion, four hundred twelve million, three thousand, three hundred thirty-five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 345 419 585 897 1035 1257 1495 2095 2691 3771 4485 5447 6285 7523 9637 13455 16341 18855 22569 27235 28911 37615 48185 49023 67707 81705 86733 97799 112845 125281 144555 173029 245115 293397 338535 375843 433665 488995 519087 626405 865145 880191 1127529 1466985 1557261 1879215 2249377 2595435 3152137 4400955 5637645 6748131 7786305 9456411 11246885 15760685 20244393 28369233 33740655 40977781 47282055 72499151 101221965 122933343 141846165 204888905 217497453 362495755 368800029 614666715 652492359 942488963 1087487265 1844000145 2827466889 3262461795 4712444815 8482400667 14137334445 42412003335