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312141221423332 = 227292113215384499
BaseRepresentation
bin100011011111001000000101…
…0100111110110100011100100
31111221012102001102001022012221
41012332100022213312203210
5311403110210141021312
63023511410355322124
7122514313311004630
oct10676201247664344
91457172042038187
10312141221423332
1190504391a96934
122b0130875b0344
1310522a3873c092
145711a03d4bdc0
15261479981e207
hex11be40a9f68e4

312141221423332 has 96 divisors (see below), whose sum is σ = 646422809760000. Its totient is φ = 129039267151872.

The previous prime is 312141221423329. The next prime is 312141221423341. The reversal of 312141221423332 is 233324122141213.

It is a super-2 number, since 2×3121412214233322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3693980419 + ... + 3694064917.

It is an arithmetic number, because the mean of its divisors is an integer number (6733570935000).

Almost surely, 2312141221423332 is an apocalyptic number.

It is an amenable number.

312141221423332 is an abundant number, since it is smaller than the sum of its proper divisors (334281588336668).

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

312141221423332 is a wasteful number, since it uses less digits than its factorization.

312141221423332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88805 (or 88803 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 312141221423332 its reverse (233324122141213), we get a palindrome (545465343564545).

The spelling of 312141221423332 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred twenty-one million, four hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 2113 2153 4226 4306 8452 8612 14791 15071 29582 30142 59164 60284 61277 62437 84499 122554 124874 168998 245108 249748 337996 428939 437059 591493 857878 874118 1182986 1715756 1748236 2365972 2450471 4549289 4900942 9098578 9801884 17153297 18197156 31845023 34306594 63690046 68613188 127380092 131929381 178546387 181926347 263858762 357092774 363852694 527717524 714185548 727705388 923505667 1249824709 1273484429 1847011334 2499649418 2546968858 3694022668 4999298836 5093937716 5177845223 5275864063 10355690446 10551728126 20711380892 21103456252 36244916561 36931048441 72489833122 73862096882 144979666244 147724193764 384410371211 768820742422 1537641484844 2690872598477 5381745196954 10763490393908 11147900765119 22295801530238 44591603060476 78035305355833 156070610711666 312141221423332