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40043323424 = 25132921115731
BaseRepresentation
bin100101010010110001…
…001010000000100000
310211100200120121001202
4211102301022000200
51124002042322144
630221243220332
72615211430106
oct452261120040
9124320517052
1040043323424
1115a89459625
1279165176a8
133a12040a20
141d1c247c76
1510956e364e
hex952c4a020

40043323424 has 96 divisors (see below), whose sum is σ = 88248968640. Its totient is φ = 17758540800.

The previous prime is 40043323373. The next prime is 40043323427. The reversal of 40043323424 is 42432334004.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (40043323427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2537639 + ... + 2553369.

It is an arithmetic number, because the mean of its divisors is an integer number (919260090).

Almost surely, 240043323424 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 40043323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44124484320).

40043323424 is an abundant number, since it is smaller than the sum of its proper divisors (48205645216).

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

40043323424 is a wasteful number, since it uses less digits than its factorization.

40043323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15994 (or 15986 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 40043323424 its reverse (42432334004), we get a palindrome (82475657428).

The spelling of 40043323424 in words is "forty billion, forty-three million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 211 232 377 416 422 464 754 844 928 1508 1688 2743 3016 3376 5486 6032 6119 6752 10972 12064 12238 15731 21944 24476 31462 43888 48952 62924 79547 87776 97904 125848 159094 195808 204503 251696 318188 409006 456199 503392 636376 818012 912398 1272752 1636024 1824796 2545504 3272048 3319241 3649592 5930587 6544096 6638482 7299184 11861174 13276964 14598368 23722348 26553928 43150133 47444696 53107856 86300266 94889392 96257989 106215712 172600532 189778784 192515978 345201064 385031956 690402128 770063912 1251353857 1380804256 1540127824 2502707714 3080255648 5005415428 10010830856 20021661712 40043323424