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40343344434 = 23353791091637
BaseRepresentation
bin100101100100101001…
…101001010100110010
310212010121010020112000
4211210221221110302
51130110344010214
630311121514430
72625513524661
oct454451512462
9125117106460
1040343344434
1116122847878
12799aaa2a16
133a5c248253
141d4a024dd8
1510b1c08809
hex964a69532

40343344434 has 128 divisors (see below), whose sum is σ = 93405312000. Its totient is φ = 12899637504.

The previous prime is 40343344427. The next prime is 40343344439. The reversal of 40343344434 is 43444334304.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40343344439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24643864 + ... + 24645500.

It is an arithmetic number, because the mean of its divisors is an integer number (729729000).

Almost surely, 240343344434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40343344434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656000).

40343344434 is an abundant number, since it is smaller than the sum of its proper divisors (53061967566).

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

40343344434 is a wasteful number, since it uses less digits than its factorization.

40343344434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 40343344434 its reverse (43444334304), we get a palindrome (83787678738).

The spelling of 40343344434 in words is "forty billion, three hundred forty-three million, three hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 79 106 109 158 159 218 237 318 327 474 477 654 711 954 981 1422 1431 1637 1962 2133 2862 2943 3274 4187 4266 4911 5777 5886 8374 8611 9822 11554 12561 14733 17222 17331 25122 25833 29466 34662 37683 44199 51666 51993 75366 77499 86761 88398 103986 113049 129323 154998 155979 173522 178433 226098 232497 258646 260283 311958 356866 387969 456383 464994 520566 535299 775938 780849 912766 1070598 1163907 1369149 1561698 1605897 2327814 2342547 2738298 3211794 3491721 4107447 4685094 4817691 6854119 6983442 8214894 9456949 9635382 12322341 13708238 14096207 18913898 20562357 24644682 28192414 28370847 41124714 42288621 56741694 61687071 84577242 85112541 123374142 126865863 170225082 185061213 253731726 255337623 370122426 380597589 510675246 747098971 761195178 1494197942 2241296913 4482593826 6723890739 13447781478 20171672217 40343344434