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312142423231400 = 235221128512594437
BaseRepresentation
bin100011011111001000101001…
…0010000011000101110101000
31111221012112011011110110221212
41012332101102100120232220
5311403120140321401100
63023512125530252252
7122514355143133346
oct10676212220305650
91457175134413855
10312142423231400
1190504949418043
122b013361b87088
1310522b9a717508
145711ab97cc996
15261481a0b5635
hex11be452418ba8

312142423231400 has 96 divisors (see below), whose sum is σ = 729426658810080. Its totient is φ = 124221595680000.

The previous prime is 312142423231391. The next prime is 312142423231403. The reversal of 312142423231400 is 4132324241213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (312142423231403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119014982 + ... + 121609418.

It is an arithmetic number, because the mean of its divisors is an integer number (7598194362605).

Almost surely, 2312142423231400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312142423231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364713329405040).

312142423231400 is an abundant number, since it is smaller than the sum of its proper divisors (417284235578680).

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

312142423231400 is a wasteful number, since it uses less digits than its factorization.

312142423231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597515 (or 2597506 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 312142423231400 its reverse (4132324241213), we get a palindrome (316274747472613).

The spelling of 312142423231400 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred twenty-three million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 2851 4220 5275 5702 8440 10550 11404 14255 21100 22808 28510 42200 57020 71275 114040 142550 285100 570200 601561 1203122 2406244 2594437 3007805 4812488 5188874 6015610 10377748 12031220 12972185 15039025 20755496 24062440 25944370 30078050 51888740 60156100 64860925 103777480 120312200 129721850 259443700 518887400 547426207 1094852414 2189704828 2737131035 4379409656 5474262070 7396739887 10948524140 13685655175 14793479774 21897048280 27371310350 29586959548 36983699435 54742620700 59173919096 73967398870 109485241400 147934797740 184918497175 295869595480 369836994350 739673988700 1479347977400 1560712116157 3121424232314 6242848464628 7803560580785 12485696929256 15607121161570 31214242323140 39017802903925 62428484646280 78035605807850 156071211615700 312142423231400