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413031422113020 = 22345376890747783
BaseRepresentation
bin101110111101001100101111…
…1001100100011010011111100
32000011102102021222000101010000
41131322121133030203103330
5413114101323030104040
64022240003232314300
7152666351451155004
oct13572313714432374
92004372258011100
10413031422113020
1110a671708091a37
123a3a830b6a2990
13149609080bcb49
1473dcb82905004
1532b3d661a1130
hex177a65f3234fc

413031422113020 has 120 divisors (see below), whose sum is σ = 1330713649054944. Its totient is φ = 107164909505664.

The previous prime is 413031422112997. The next prime is 413031422113061. The reversal of 413031422113020 is 20311224130314.

413031422113020 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 3 + 142 + 211 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3445313952 + ... + 3445433831.

Almost surely, 2413031422113020 is an apocalyptic number.

It is an amenable number.

413031422113020 is an abundant number, since it is smaller than the sum of its proper divisors (917682226941924).

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

413031422113020 is a wasteful number, since it uses less digits than its factorization.

413031422113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890747841 (or 6890747830 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413031422113020 its reverse (20311224130314), we get a palindrome (433342646243334).

The spelling of 413031422113020 in words is "four hundred thirteen trillion, thirty-one billion, four hundred twenty-two million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 59940 6890747783 13781495566 20672243349 27562991132 34453738915 41344486698 62016730047 68907477830 82688973396 103361216745 124033460094 137814955660 186050190141 206722433490 248066920188 254957667971 310083650235 372100380282 413444866980 509915335942 558150570423 620167300470 744200760564 764873003913 930250950705 1019830671884 1116301140846 1240334600940 1274788339855 1529746007826 1860501901410 2232602281692 2294619011739 2549576679710 2790752852115 3059492015652 3721003802820 3824365019565 4589238023478 5099153359420 5581505704230 6883857035217 7648730039130 9178476046956 11163011408460 11473095058695 13767714070434 15297460078260 20651571105651 22946190117390 27535428140868 34419285176085 41303142211302 45892380234780 68838570352170 82606284422604 103257855528255 137677140704340 206515711056510 413031422113020