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40443827034 = 23132117134061
BaseRepresentation
bin100101101010101000…
…111101001101011010
310212101121012021201210
4211222220331031122
51130312104431114
630325111323550
72631143600112
oct455250751532
9125347167653
1040443827034
1116174538946
127a086805b6
133a76cca600
141d59500042
1510ba956259
hex96aa3d35a

40443827034 has 48 divisors (see below), whose sum is σ = 87665778144. Its totient is φ = 12433262400.

The previous prime is 40443827009. The next prime is 40443827041. The reversal of 40443827034 is 43072834404.

It is a super-2 number, since 2×404438270342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 40443826983 and 40443827001.

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, 1170364 + ... + 1204424.

It is an arithmetic number, because the mean of its divisors is an integer number (1826370378).

Almost surely, 240443827034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40443827034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832889072).

40443827034 is an abundant number, since it is smaller than the sum of its proper divisors (47221951110).

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

40443827034 is a wasteful number, since it uses less digits than its factorization.

40443827034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35263 (or 35250 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 40443827034 in words is "forty billion, four hundred forty-three million, eight hundred twenty-seven thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 1171 2342 3513 7026 15223 30446 34061 45669 68122 91338 102183 197899 204366 395798 442793 593697 885586 1187394 1328379 2656758 5756309 11512618 17268927 34537854 39885431 79770862 119656293 239312586 518510603 1037021206 1555531809 3111063618 6740637839 13481275678 20221913517 40443827034