Search a number
-
+
40312888039264 = 254779748745317
BaseRepresentation
bin10010010101010000100110…
…10111110001011101100000
312021201212121110222021021011
421022220103113301131200
520240441243314224024
6221423252440510304
711330336642354521
oct1112502327613540
9167655543867234
1040312888039264
1111932666385a95
124630aa877b394
1319656485273b9
149d5223160848
1549d96dab4094
hex24aa135f1760

40312888039264 has 96 divisors (see below), whose sum is σ = 82093419233280. Its totient is φ = 19474835947008.

The previous prime is 40312888039241. The next prime is 40312888039283. The reversal of 40312888039264 is 46293088821304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40312888039199 and 40312888039208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889552734 + ... + 889598050.

It is an arithmetic number, because the mean of its divisors is an integer number (855139783680).

Almost surely, 240312888039264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40312888039264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41046709616640).

40312888039264 is an abundant number, since it is smaller than the sum of its proper divisors (41780531194016).

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

40312888039264 is a wasteful number, since it uses less digits than its factorization.

40312888039264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52940 (or 52932 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 40312888039264 in words is "forty trillion, three hundred twelve billion, eight hundred eighty-eight million, thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 79 94 158 188 316 376 632 752 1264 1504 2528 3713 7426 7487 14852 14974 29704 29948 45317 59408 59896 90634 118816 119792 181268 239584 351889 362536 591473 703778 725072 1182946 1407556 1450144 2129899 2365892 2815112 3580043 4259798 4731784 5630224 7160086 8519596 9463568 11260448 14320172 17039192 18927136 27799231 28640344 34078384 55598462 57280688 68156768 111196924 114561376 168262021 222393848 336524042 339288379 444787696 673048084 678576758 889575392 1346096168 1357153516 2692192336 2714307032 5384384672 5428614064 10857228128 15946553813 26803781941 31893107626 53607563882 63786215252 107215127764 127572430504 214430255528 255144861008 428860511056 510289722016 857721022112 1259777751227 2519555502454 5039111004908 10078222009816 20156444019632 40312888039264