Search a number
-
+
40443359926368 = 2537401150083719
BaseRepresentation
bin10010011001000011101000…
…00110100001100001100000
312022012100101021211212022010
421030201310012201201200
520300111000120120433
6222003231214112520
711342636106200160
oct1114416406414140
9168170337755263
1040443359926368
1111982a2935a963
12465223b4ab740
131974a3c0bcc69
149db67d1845a0
154a205808ae63
hex24c8741a1860

40443359926368 has 96 divisors (see below), whose sum is σ = 121632649367040. Its totient is φ = 11526429542400.

The previous prime is 40443359926297. The next prime is 40443359926381. The reversal of 40443359926368 is 86362995334404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40443359926299 and 40443359926308.

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, 74772388 + ... + 75311331.

It is an arithmetic number, because the mean of its divisors is an integer number (1267006764240).

Almost surely, 240443359926368 is an apocalyptic number.

40443359926368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40443359926368 is an abundant number, since it is smaller than the sum of its proper divisors (81189289440672).

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

40443359926368 is a wasteful number, since it uses less digits than its factorization.

40443359926368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150084140 (or 150084132 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 66.

The spelling of 40443359926368 in words is "forty trillion, four hundred forty-three billion, three hundred fifty-nine million, nine hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 401 672 802 1203 1604 2406 2807 3208 4812 5614 6416 8421 9624 11228 12832 16842 19248 22456 33684 38496 44912 67368 89824 134736 269472 150083719 300167438 450251157 600334876 900502314 1050586033 1200669752 1801004628 2101172066 2401339504 3151758099 3602009256 4202344132 4802679008 6303516198 7204018512 8404688264 12607032396 14408037024 16809376528 25214064792 33618753056 50428129584 60183571319 100856259168 120367142638 180550713957 240734285276 361101427914 421284999233 481468570552 722202855828 842569998466 962937141104 1263854997699 1444405711656 1685139996932 1925874282208 2527709995398 2888811423312 3370279993864 5055419990796 5777622846624 6740559987728 10110839981592 13481119975456 20221679963184 40443359926368