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40433035412 = 22721171264137
BaseRepresentation
bin100101101001111111…
…110010100010010100
310212100211220000102002
4211221333302202110
51130301324113122
630324044134432
72630653062500
oct455177624224
9125324800362
1040433035412
1116169437a50
127a04b37418
133a749bc633
141d57cd1300
1510b9a23992
hex969ff2894

40433035412 has 72 divisors (see below), whose sum is σ = 91057877568. Its totient is φ = 15531196800.

The previous prime is 40433035397. The next prime is 40433035457. The reversal of 40433035412 is 21453033404.

It is a super-3 number, since 3×404330354123 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21008 + ... + 285144.

It is an arithmetic number, because the mean of its divisors is an integer number (1264692744).

Almost surely, 240433035412 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 40433035412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45528938784).

40433035412 is an abundant number, since it is smaller than the sum of its proper divisors (50624842156).

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

40433035412 is a wasteful number, since it uses less digits than its factorization.

40433035412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264237 (or 264228 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 40433035412 its reverse (21453033404), we get a palindrome (61886068816).

The spelling of 40433035412 in words is "forty billion, four hundred thirty-three million, thirty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 71 77 98 142 154 196 284 308 497 539 781 994 1078 1562 1988 2156 3124 3479 5467 6958 10934 13916 21868 38269 76538 153076 264137 528274 1056548 1848959 2905507 3697918 5811014 7395836 11622028 12942713 18753727 20338549 25885426 37507454 40677098 51770852 75014908 81354196 131276089 142369843 206290997 262552178 284739686 412581994 525104356 569479372 825163988 918932623 1444036979 1837865246 2888073958 3675730492 5776147916 10108258853 20216517706 40433035412