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40440422404404 = 223211376127152959
BaseRepresentation
bin10010011000111110001010…
…00000110001000100110100
312022012001210120101021201100
421030133011000301010310
520300033441113420104
6222002023520530100
711342503236522201
oct1114370500610464
9168161716337640
1040440422404404
1111981761193160
12465175b780930
131974691642599
149db480da2ca8
154a1e35239139
hex24c7c5031134

40440422404404 has 72 divisors (see below), whose sum is σ = 111547183587840. Its totient is φ = 12251414649600.

The previous prime is 40440422404397. The next prime is 40440422404423.

40440422404404 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 0 + 4 + 2 + 240 + 4 + 404 = 666.

40440422404404 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12087124 + ... + 15065835.

It is an arithmetic number, because the mean of its divisors is an integer number (1549266438720).

Almost surely, 240440422404404 is an apocalyptic number.

40440422404404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40440422404404 is an abundant number, since it is smaller than the sum of its proper divisors (71106761183436).

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

40440422404404 is a wasteful number, since it uses less digits than its factorization.

40440422404404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27156741 (or 27156736 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 4044042 and 2404404, that added together give a palindrome (6448446).

The spelling of 40440422404404 in words is "forty trillion, four hundred forty billion, four hundred twenty-two million, four hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3761 7522 11283 15044 22566 33849 41371 45132 67698 82742 124113 135396 165484 248226 372339 496452 744678 1489356 27152959 54305918 81458877 108611836 162917754 244376631 298682549 325835508 488753262 597365098 896047647 977506524 1194730196 1792095294 2688142941 3584190588 5376285882 10752571764 102122278799 204244557598 306366836397 408489115196 612733672794 919100509191 1123345066789 1225467345588 1838201018382 2246690133578 3370035200367 3676402036764 4493380267156 6740070400734 10110105601101 13480140801468 20220211202202 40440422404404