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42121430400322 = 2721325961736983
BaseRepresentation
bin10011001001111001010001…
…11001010111110101000010
312112010202202220111100010201
421210330220321113311002
521010104142140302242
6225330152404115414
711605113211653400
oct1144745071276502
9175122686440121
1042121430400322
111246a6643a29a9
1248834b9995b6a
131a67059479c00
14a5898c258470
154d0a1d54c4b7
hex264f28e57d42

42121430400322 has 144 divisors (see below), whose sum is σ = 80959777577280. Its totient is φ = 16375993006464.

The previous prime is 42121430400311. The next prime is 42121430400437. The reversal of 42121430400322 is 22300403412124.

42121430400322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421214304003222 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6031992843 + ... + 6031999825.

It is an arithmetic number, because the mean of its divisors is an integer number (562220677620).

Almost surely, 242121430400322 is an apocalyptic number.

42121430400322 is a deficient number, since it is larger than the sum of its proper divisors (38838347176958).

42121430400322 is a wasteful number, since it uses less digits than its factorization.

42121430400322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13257 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 42121430400322 its reverse (22300403412124), we get a palindrome (64421833812446).

The spelling of 42121430400322 in words is "forty-two trillion, one hundred twenty-one billion, four hundred thirty million, four hundred thousand, three hundred twenty-two".

Divisors: 1 2 7 13 14 26 49 59 91 98 118 169 182 338 413 637 767 826 1183 1274 1534 2366 2891 5369 5782 6173 6983 8281 9971 10738 12346 13966 16562 19942 37583 43211 48881 69797 75166 80249 86422 90779 97762 139594 160498 181558 302477 342167 364207 411997 488579 561743 604954 635453 684334 728414 823994 977158 1043237 1123486 1180127 1270906 2086474 2360254 2549449 2883979 3932201 4448171 4734691 5098898 5355961 5767958 7302659 7864402 8260889 8896342 9469382 10711922 14605318 16521778 17846143 20187853 33142837 35692286 37491727 40375706 43106059 51118613 57826223 61550983 66285674 69627493 74983454 86212118 102237226 115652446 123101966 139254986 231999859 262442089 301742413 430856881 463999718 487392451 524884178 560378767 603484826 861713762 974784902 1120757534 2112196891 2543257481 3015998167 3411747157 3922651369 4224393782 5086514962 6031996334 6823494314 7284923971 7845302738 14569847942 17802802367 27458559583 33062347253 35605604734 50994467797 54917119166 66124694506 101988935594 124619616569 231436430771 249239233138 356961274579 429810514289 462872861542 713922549158 859621028578 1620055015397 3008673600023 3240110030794 6017347200046 21060715200161 42121430400322