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40013332242432 = 21332576335201
BaseRepresentation
bin10010001100100010101000…
…11101000110000000000000
312020200020101220220002201020
421012101110131012000000
520221034301023224212
6221033512052305440
711266603450166133
oct1106212435060000
9166606356802636
1040013332242432
11118276169a614a
1245a2a28012280
131943319745b03
149c492700c21a
15495c8a3ead8c
hex246454746000

40013332242432 has 112 divisors (see below), whose sum is σ = 107110882025712. Its totient is φ = 13285877350400.

The previous prime is 40013332242421. The next prime is 40013332242503. The reversal of 40013332242432 is 23424223331004.

It is a junction number, because it is equal to n+sod(n) for n = 40013332242393 and 40013332242402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3148432 + ... + 9483632.

Almost surely, 240013332242432 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 40013332242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53555441012856).

40013332242432 is an abundant number, since it is smaller than the sum of its proper divisors (67097549783280).

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

40013332242432 is an equidigital number, since it uses as much as digits as its factorization.

40013332242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335487 (or 6335463 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 40013332242432 its reverse (23424223331004), we get a palindrome (63437555573436).

The spelling of 40013332242432 in words is "forty trillion, thirteen billion, three hundred thirty-two million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 512 514 768 771 1024 1028 1536 1542 2048 2056 3072 3084 4096 4112 6144 6168 8192 8224 12288 12336 16448 24576 24672 32896 49344 65792 98688 131584 197376 263168 394752 526336 789504 1052672 1579008 2105344 3158016 6316032 6335201 12670402 19005603 25340804 38011206 50681608 76022412 101363216 152044824 202726432 304089648 405452864 608179296 810905728 1216358592 1621811456 1628146657 2432717184 3243622912 3256293314 4865434368 4884439971 6487245824 6512586628 9730868736 9768879942 12974491648 13025173256 19461737472 19537759884 25948983296 26050346512 38923474944 39075519768 51897966592 52100693024 77846949888 78151039536 104201386048 155693899776 156302079072 208402772096 312604158144 416805544192 625208316288 833611088384 1250416632576 1667222176768 2500833265152 3334444353536 5001666530304 6668888707072 10003333060608 13337777414144 20006666121216 40013332242432