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40433422421306 = 2174173994939937
BaseRepresentation
bin10010011000110001000111…
…10001111100110100111010
312022011101201201200022010002
421030120203301330310322
520244430122114440211
6221554505142553002
711342134620613205
oct1114304361746472
9168141651608102
1040433422421306
1111979799950262
124650327438762
131973b17344255
149dadb944c93c
154a1b7592503b
hex24c623c7cd3a

40433422421306 has 64 divisors (see below), whose sum is σ = 66693600439200. Its totient is φ = 18306815754240.

The previous prime is 40433422421303. The next prime is 40433422421389. The reversal of 40433422421306 is 60312422433404.

40433422421306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 7198301191225 + 33235121230081 = 2682965^2 + 5764991^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40433422421306.

It is not an unprimeable number, because it can be changed into a prime (40433422421303) 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 31 ways as a sum of consecutive naturals, for example, 1012410170 + ... + 1012450106.

Almost surely, 240433422421306 is an apocalyptic number.

40433422421306 is a deficient number, since it is larger than the sum of its proper divisors (26260178017894).

40433422421306 is a wasteful number, since it uses less digits than its factorization.

40433422421306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50019.

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 40433422421306 in words is "forty trillion, four hundred thirty-three billion, four hundred twenty-two million, four hundred twenty-one thousand, three hundred six".

Divisors: 1 2 17 34 41 73 82 146 697 1241 1394 2482 2993 5986 9949 19898 39937 50881 79874 101762 169133 338266 407909 678929 726277 815818 1357858 1452554 1637417 2915401 3274834 5830802 6934453 12346709 13868906 24693418 27836089 29777357 49561817 55672178 59554714 99123634 119531441 239062882 397333213 506215069 794666426 1012430138 2032034497 4064068994 6754664621 13509329242 16290661733 29005324549 32581323466 58010649098 276941249461 493090517333 553882498922 986181034666 1189218306509 2378436613018 20216711210653 40433422421306