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43312121314056 = 23327261919833083
BaseRepresentation
bin10011101100100011000111…
…00110101111101100001000
312200100121011012111212110100
421312101203212233230020
521134111211024022211
6232041151442445400
712060124512513300
oct1166214346575410
9180317135455410
1043312121314056
1112889627378771
124a36219963860
131b22414254b3a
14a9a4642b0600
155019aad55156
hex2764639afb08

43312121314056 has 144 divisors (see below), whose sum is σ = 136675731769200. Its totient is φ = 12354899433408.

The previous prime is 43312121314037. The next prime is 43312121314057. The reversal of 43312121314056 is 65041312121334.

43312121314056 is a `hidden beast` number, since 4 + 3 + 3 + 1 + 212 + 1 + 31 + 405 + 6 = 666.

43312121314056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×433121213140562 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 43312121314056.

It is not an unprimeable number, because it can be changed into a prime (43312121314057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7732710 + ... + 12100373.

It is an arithmetic number, because the mean of its divisors is an integer number (949137026175).

Almost surely, 243312121314056 is an apocalyptic number.

It is an amenable number.

43312121314056 is an abundant number, since it is smaller than the sum of its proper divisors (93363610455144).

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

43312121314056 is a wasteful number, since it uses less digits than its factorization.

43312121314056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833728 (or 19833714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 43312121314056 in words is "forty-three trillion, three hundred twelve billion, one hundred twenty-one million, three hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 619 882 1176 1238 1764 1857 2476 3528 3714 4333 4952 5571 7428 8666 11142 12999 14856 17332 22284 25998 30331 34664 38997 44568 51996 60662 77994 90993 103992 121324 155988 181986 242648 272979 311976 363972 545958 727944 1091916 2183832 19833083 39666166 59499249 79332332 118998498 138831581 158664664 178497747 237996996 277663162 356995494 416494743 475993992 555326324 713990988 832989486 971821067 1110652648 1249484229 1427981976 1665978972 1943642134 2498968458 2915463201 3331957944 3887284268 4997936916 5830926402 7774568536 8746389603 9995873832 11661852804 12276678377 17492779206 23323705608 24553356754 34985558412 36830035131 49106713508 69971116824 73660070262 85936748639 98213427016 110490105393 147320140524 171873497278 220980210786 257810245917 294640281048 343746994556 441960421572 515620491834 601557240473 687493989112 773430737751 883920843144 1031240983668 1203114480946 1546861475502 1804671721419 2062481967336 2406228961892 3093722951004 3609343442838 4812457923784 5414015164257 6187445902008 7218686885676 10828030328514 14437373771352 21656060657028 43312121314056