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31230431304044 = 22741241178963097
BaseRepresentation
bin1110001100111011001101…
…10000111001100101101100
311002120121012110021021202112
413012131212300321211230
513043134410403212134
6150231021224143152
76402216126042260
oct706354660714554
9132517173237675
1031230431304044
119a5082a3282a5
123604800307ab8
13145702b57102b
1479d7bd3120a0
153925963d71ce
hex1c6766c3996c

31230431304044 has 96 divisors (see below), whose sum is σ = 64286725937280. Its totient is φ = 12996362649600.

The previous prime is 31230431303993. The next prime is 31230431304047. The reversal of 31230431304044 is 44040313403213.

It is a super-2 number, since 2×312304313040442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31230431304044.

It is not an unprimeable number, because it can be changed into a prime (31230431304047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494927504 + ... + 494990600.

It is an arithmetic number, because the mean of its divisors is an integer number (669653395180).

Almost surely, 231230431304044 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 31230431304044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32143362968640).

31230431304044 is an abundant number, since it is smaller than the sum of its proper divisors (33056294633236).

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

31230431304044 is a wasteful number, since it uses less digits than its factorization.

31230431304044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65179 (or 65177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 31230431304044 its reverse (44040313403213), we get a palindrome (75270744707257).

The spelling of 31230431304044 in words is "thirty-one trillion, two hundred thirty billion, four hundred thirty-one million, three hundred four thousand, forty-four".

Divisors: 1 2 4 7 14 28 41 82 164 241 287 482 574 964 1148 1687 1789 3374 3578 6748 7156 9881 12523 19762 25046 39524 50092 63097 69167 73349 126194 138334 146698 252388 276668 293396 431149 441679 513443 862298 883358 1026886 1724596 1766716 2053772 2586977 3018043 5173954 6036086 10347908 12072172 15206377 17677109 18108839 30412754 35354218 36217678 60825508 70708436 72435356 106444639 112880533 123739763 212889278 225761066 247479526 425778556 451522132 494959052 623461457 790163731 1246922914 1580327462 2493845828 3160654924 4364230199 4628101853 8728460398 9256203706 17456920796 18512407412 27204208453 32396712971 54408416906 64793425942 108816833812 129586851884 190429459171 380858918342 761717836684 1115372546573 2230745093146 4461490186292 7807607826011 15615215652022 31230431304044