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312141143131232 = 2523697160838447
BaseRepresentation
bin100011011111001000000010…
…1111101001100010001100000
31111221012101211221201122122112
41012332100011331030101200
5311403110030120144412
63023511354521254452
7122514311340354032
oct10676200575142140
91457171757648575
10312141143131232
1190504351881918
122b013065334428
1310522a254591ac
1457119d77abc52
152614792a06722
hex11be405f4c460

312141143131232 has 48 divisors (see below), whose sum is σ = 641338477097472. Its totient is φ = 149263476954240.

The previous prime is 312141143131231. The next prime is 312141143131241. The reversal of 312141143131232 is 232131341141213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141143131231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25288568 + ... + 35549879.

It is an arithmetic number, because the mean of its divisors is an integer number (13361218272864).

Almost surely, 2312141143131232 is an apocalyptic number.

312141143131232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312141143131232 is an abundant number, since it is smaller than the sum of its proper divisors (329197333966240).

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

312141143131232 is a wasteful number, since it uses less digits than its factorization.

312141143131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60845451 (or 60845443 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

Adding to 312141143131232 its reverse (232131341141213), we get a palindrome (544272484272445).

The spelling of 312141143131232 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred forty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 6971 13942 27884 55768 111536 160333 223072 320666 641332 1282664 2565328 5130656 60838447 121676894 243353788 486707576 973415152 1399284281 1946830304 2798568562 5597137124 11194274248 22388548496 44777096992 424104814037 848209628074 1696419256148 3392838512296 6785677024592 9754410722851 13571354049184 19508821445702 39017642891404 78035285782808 156070571565616 312141143131232