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40804382281047 = 37113713778744279
BaseRepresentation
bin10010100011100100000101…
…01101100000110101010111
312100110212020120002200202120
421101302002231200311113
520322014333330443142
6222441135140111023
711411006426445240
oct1121620255406527
9170425216080676
1040804382281047
1112002050036440
1246b01b5095473
13199cab5412038
14a10d2a865cc7
154ab637ae77ec
hex251c82b60d57

40804382281047 has 128 divisors (see below), whose sum is σ = 70263169597440. Its totient is φ = 20447169500160.

The previous prime is 40804382281001. The next prime is 40804382281067. The reversal of 40804382281047 is 74018228340804.

It is not a de Polignac number, because 40804382281047 - 210 = 40804382280023 is a prime.

It is a super-2 number, since 2×408043822810472 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40804382281067) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 921506854 + ... + 921551132.

It is an arithmetic number, because the mean of its divisors is an integer number (548931012480).

Almost surely, 240804382281047 is an apocalyptic number.

40804382281047 is a deficient number, since it is larger than the sum of its proper divisors (29458787316393).

40804382281047 is a wasteful number, since it uses less digits than its factorization.

40804382281047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45261.

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 40804382281047 in words is "forty trillion, eight hundred four billion, three hundred eighty-two million, two hundred eighty-one thousand, forty-seven".

Divisors: 1 3 7 11 21 33 37 77 111 137 231 259 407 411 777 787 959 1221 1507 2361 2849 2877 4521 5069 5509 8547 8657 10549 15207 16527 25971 29119 31647 35483 44279 55759 60599 87357 106449 107819 132837 167277 181797 203833 309953 320309 323457 390313 487069 611499 754733 929859 960927 1170939 1186009 1461207 1638323 2242163 2264199 3409483 3558027 3989303 4914969 6066223 6726489 8302063 10228449 11468261 11967909 18021553 18198669 24906189 27925121 34404783 34847573 42463561 43882333 54064659 66728453 83775363 104542719 126150871 127390683 131646999 200185359 224450251 243933011 307176331 378452613 383323303 467099171 673350753 731799033 921528993 1149969909 1289360201 1401297513 1571151757 2468952761 2683263121 3868080603 4713455271 4774117501 7406858283 8049789363 9025521407 14182962211 14322352503 17282669327 27076564221 33418822507 42548886633 51848007981 52515292511 99280735477 100256467521 157545877533 176642347537 297842206431 367607047577 529927042611 1102821142731 1236496432759 1943065822907 3709489298277 5829197468721 13601460760349 40804382281047