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312141221124042 = 23191011811117134089
BaseRepresentation
bin100011011111001000000101…
…0100110101101011111001010
31111221012102001101111002200010
41012332100022212231133022
5311403110210101432132
63023511410345052350
7122514313305320232
oct10676201246553712
91457172041432603
10312141221124042
1190504391901a92
122b0130874870b6
1310522a38665a9b
145711a03cb0cc2
1526147997b06cc
hex11be40a9ad7ca

312141221124042 has 128 divisors (see below), whose sum is σ = 667914690643200. Its totient is φ = 96968150784000.

The previous prime is 312141221124013. The next prime is 312141221124077. The reversal of 312141221124042 is 240421122141213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2327798934 + ... + 2327933022.

It is an arithmetic number, because the mean of its divisors is an integer number (5218083520650).

Almost surely, 2312141221124042 is an apocalyptic number.

312141221124042 is an abundant number, since it is smaller than the sum of its proper divisors (355773469519158).

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

312141221124042 is a wasteful number, since it uses less digits than its factorization.

312141221124042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135512.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 312141221124042 its reverse (240421122141213), we get a palindrome (552562343265255).

The spelling of 312141221124042 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred twenty-one million, one hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 19 38 57 101 114 181 202 303 362 543 606 1086 1117 1919 2234 3351 3439 3838 5757 6702 6878 10317 11514 18281 20634 21223 36562 42446 54843 63669 109686 112817 127338 134089 202177 225634 268178 338451 347339 402267 404354 606531 676902 694678 804534 1042017 1213062 2084034 2143523 2547691 3841363 4287046 5095382 6430569 7643073 7682726 11524089 12861138 13542989 15286146 20419877 23048178 24270109 27085978 40628967 40839754 48540218 61259631 72810327 81257934 122519262 145620654 149777413 257316791 299554826 387977663 449332239 461132071 514633582 771950373 775955326 898664478 922264142 1163932989 1383396213 1543900746 2327865978 2451281009 2766792426 2845770847 4902562018 5691541694 7353843027 8537312541 14707686054 15127518713 17074625082 27109711753 30255037426 45382556139 46574339171 54219423506 81329135259 90765112278 93148678342 139723017513 162658270518 279446035026 287422855547 515084523307 574845711094 862268566641 1030169046614 1545253569921 1724537133282 2738080887053 3090507139842 5476161774106 8214242661159 16428485322318 52023536854007 104047073708014 156070610562021 312141221124042