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31331441131344 = 24322310391844429
BaseRepresentation
bin1110001111110111010110…
…11010110011111101010000
311002221020221000002011122100
413013323223122303331100
513101313242412200334
6150345244303240400
76412423214311554
oct707735332637520
9132836830064570
1031331441131344
119a8a653789612
1236202b02a9100
13146370834ba03
147a464251b864
153950090e4c99
hex1c7eeb6b3f50

31331441131344 has 120 divisors (see below), whose sum is σ = 92385210003840. Its totient is φ = 9892747028736.

The previous prime is 31331441131327. The next prime is 31331441131411. The reversal of 31331441131344 is 44313114413313.

31331441131344 is a `hidden beast` number, since 3 + 1 + 331 + 4 + 4 + 1 + 1 + 313 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31331441131299 and 31331441131308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45581079 + ... + 46263350.

It is an arithmetic number, because the mean of its divisors is an integer number (769876750032).

Almost surely, 231331441131344 is an apocalyptic number.

It is an amenable number.

31331441131344 is an abundant number, since it is smaller than the sum of its proper divisors (61053768872496).

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

31331441131344 is a wasteful number, since it uses less digits than its factorization.

31331441131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91844569 (or 91844560 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 31331441131344 its reverse (44313114413313), we get a palindrome (75644555544657).

The spelling of 31331441131344 in words is "thirty-one trillion, three hundred thirty-one billion, four hundred forty-one million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 103 138 144 184 206 207 276 309 368 412 414 552 618 824 828 927 1104 1236 1648 1656 1854 2369 2472 3312 3708 4738 4944 7107 7416 9476 14214 14832 18952 21321 28428 37904 42642 56856 85284 113712 170568 341136 91844429 183688858 275533287 367377716 551066574 734755432 826599861 1102133148 1469510864 1653199722 2112421867 2204266296 3306399444 4224843734 4408532592 6337265601 6612798888 8449687468 9459976187 12674531202 13225597776 16899374936 18919952374 19011796803 25349062404 28379928561 33798749872 37839904748 38023593606 50698124808 56759857122 75679809496 76047187212 85139785683 101396249616 113519714244 151359618992 152094374424 170279571366 217579452301 227039428488 304188748848 340559142732 435158904602 454078856976 652738356903 681118285464 870317809204 1305476713806 1362236570928 1740635618408 1958215070709 2610953427612 3481271236816 3916430141418 5221906855224 7832860282836 10443813710448 15665720565672 31331441131344