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40813344112345 = 57171931349333691
BaseRepresentation
bin10010100011110100110001…
…11000001011111011011001
312100111201101010100220011021
421101322120320023323121
520322141212043043340
6222445220315202441
711411444466656260
oct1121723070137331
9170451333326137
1040813344112345
1112005929827992
1246b1a96446421
1319a08b2cba1ac
14a1153ab835d7
154ab9ae784e4a
hex251e98e0bed9

40813344112345 has 128 divisors (see below), whose sum is σ = 64581414912000. Its totient is φ = 24079497523200.

The previous prime is 40813344112301. The next prime is 40813344112351. The reversal of 40813344112345 is 54321144331804.

It is not a de Polignac number, because 40813344112345 - 27 = 40813344112217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122141950 + ... + 122475640.

It is an arithmetic number, because the mean of its divisors is an integer number (504542304000).

Almost surely, 240813344112345 is an apocalyptic number.

It is an amenable number.

40813344112345 is a deficient number, since it is larger than the sum of its proper divisors (23768070799655).

40813344112345 is a wasteful number, since it uses less digits than its factorization.

40813344112345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334119.

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 40813344112345 in words is "forty trillion, eight hundred thirteen billion, three hundred forty-four million, one hundred twelve thousand, three hundred forty-five".

Divisors: 1 5 7 17 19 31 35 85 95 119 133 155 217 323 349 527 589 595 665 1085 1615 1745 2261 2443 2635 2945 3689 4123 5933 6631 10013 10819 11305 12215 18445 20615 29665 33155 41531 46417 50065 54095 70091 75733 112727 183923 205561 207655 232085 333691 350455 378665 563635 789089 919615 1027805 1287461 1438927 1668455 2335837 3494537 3945445 5672747 6340129 6437305 7194635 10344421 11679185 17472685 24461759 28363735 31700645 39709229 44380903 51722105 72410947 107782193 116458159 122308795 175855157 196543999 198546145 221904515 362054735 538910965 582290795 754475351 815207113 879275785 982719995 1230986099 1375807993 1979788703 2212705021 3341247983 3610202929 3772376755 4076035565 6154930495 6879039965 9898943515 11063525105 13858520921 15488935147 16706239915 18051014645 23388735881 25271420503 37615985357 61373449793 68593855651 69292604605 77444675735 116943679405 126357102515 188079926785 263311897499 306867248965 342969278255 429614148551 480156989557 1166095546067 1316559487495 2148070742755 2400784947785 5830477730335 8162668822469 40813344112345