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40684330809318 = 23729239613227993
BaseRepresentation
bin10010100000000100011110…
…00101011111011111100110
312100001101100222002001022210
421100002033011133133212
520313033002141344233
6222310042404304250
711366226433665420
oct1120021705373746
9170041328061283
1040684330809318
1111a661451158a9
124690a900a2086
131991692675731
14a091bc761810
154a845d376163
hex25008f15f7e6

40684330809318 has 128 divisors (see below), whose sum is σ = 96759924019200. Its totient is φ = 11158023324672.

The previous prime is 40684330809247. The next prime is 40684330809319. The reversal of 40684330809318 is 81390803348604.

40684330809318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40684330809319) 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 63 ways as a sum of consecutive naturals, for example, 178331530 + ... + 178559522.

It is an arithmetic number, because the mean of its divisors is an integer number (755936906400).

Almost surely, 240684330809318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40684330809318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48379962009600).

40684330809318 is an abundant number, since it is smaller than the sum of its proper divisors (56075593209882).

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

40684330809318 is a wasteful number, since it uses less digits than its factorization.

40684330809318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228886.

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 40684330809318 in words is "forty trillion, six hundred eighty-four billion, three hundred thirty million, eight hundred nine thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 239 406 478 609 613 717 1218 1226 1434 1673 1839 3346 3678 4291 5019 6931 8582 10038 12873 13862 17777 20793 25746 35554 41586 48517 53331 97034 106662 124439 145551 146507 227993 248878 291102 293014 373317 439521 455986 683979 746634 879042 1025549 1367958 1595951 2051098 3076647 3191902 4248703 4787853 6153294 6611797 8497406 9575706 12746109 13223594 19835391 25492218 29740921 39670782 46282579 54490327 59481842 89222763 92565158 108980654 138847737 139759709 163470981 178445526 277695474 279519418 326941962 381432289 419279127 762864578 838558254 978317963 1144296867 1580219483 1956635926 2288593734 2934953889 3160438966 4053031561 4740658449 5869907778 8106063122 9481316898 11061536381 12159094683 22123072762 24318189366 28371220927 33184609143 33402570451 56742441854 66369218286 66805140902 85113662781 100207711353 170227325562 200415422706 233817993157 467635986314 701453979471 968674543079 1402907958942 1937349086158 2906023629237 5812047258474 6780721801553 13561443603106 20342165404659 40684330809318