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43112142444 = 22371314578573
BaseRepresentation
bin101000001001101011…
…110001011001101100
311010021120002202100110
4220021223301121230
51201243202024234
631445550500020
73054234110250
oct501153613154
9133246082313
1043112142444
1117313753798
128432204610
1340b0a6c377
14212da46260
1511c4d2d1e9
hexa09af166c

43112142444 has 96 divisors (see below), whose sum is σ = 116110342656. Its totient is φ = 12195555840.

The previous prime is 43112142407. The next prime is 43112142547. The reversal of 43112142444 is 44424121134.

It is a happy number.

It is a super-2 number, since 2×431121424442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5024542 + ... + 5033114.

It is an arithmetic number, because the mean of its divisors is an integer number (1209482736).

Almost surely, 243112142444 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 43112142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58055171328).

43112142444 is an abundant number, since it is smaller than the sum of its proper divisors (72998200212).

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

43112142444 is a wasteful number, since it uses less digits than its factorization.

43112142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9173 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 43112142444 its reverse (44424121134), we get a palindrome (87536263578).

The spelling of 43112142444 in words is "forty-three billion, one hundred twelve million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 457 524 786 914 917 1371 1572 1828 1834 2742 2751 3199 3668 5484 5502 6398 8573 9597 11004 12796 17146 19194 25719 34292 38388 51438 59867 60011 102876 119734 120022 179601 180033 239468 240044 359202 360066 419069 718404 720132 838138 1123063 1257207 1676276 2246126 2514414 3369189 3917861 4492252 5028828 6738378 7835722 7861441 11753583 13476756 15671444 15722882 23507166 23584323 27425027 31445764 47014332 47168646 54850054 82275081 94337292 109700108 164550162 329100324 513239791 1026479582 1539719373 2052959164 3079438746 3592678537 6158877492 7185357074 10778035611 14370714148 21556071222 43112142444