Search a number
-
+
43142814 = 233111337151
BaseRepresentation
bin1010010010010…
…0111010011110
310000011212211000
42210210322132
542021032224
64140411130
71032464541
oct244447236
9100155730
1043142814
1122397920
1212546aa6
138c271c0
145a30858
153bc30c9
hex2924e9e

43142814 has 128 divisors (see below), whose sum is σ = 116444160. Its totient is φ = 11664000.

The previous prime is 43142797. The next prime is 43142837. The reversal of 43142814 is 41824134.

43142814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×431428142 = 3722604799677192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285639 + ... + 285789.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 243142814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43142814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58222080).

43142814 is an abundant number, since it is smaller than the sum of its proper divisors (73301346).

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

43142814 is a wasteful number, since it uses less digits than its factorization.

43142814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 43142814 is about 6568.3189630224. The cubic root of 43142814 is about 350.7272334787.

Adding to 43142814 its reverse (41824134), we get a palindrome (84966948).

It can be divided in two parts, 43142 and 814, that added together give a triangular number (43956 = T296).

The spelling of 43142814 in words is "forty-three million, one hundred forty-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 37 39 54 66 74 78 99 111 117 143 151 198 222 234 286 297 302 333 351 407 429 453 481 594 666 702 814 858 906 962 999 1221 1287 1359 1443 1661 1963 1998 2442 2574 2718 2886 3322 3663 3861 3926 4077 4329 4983 5291 5587 5889 7326 7722 8154 8658 9966 10582 10989 11174 11778 12987 14949 15873 16761 17667 21593 21978 25974 29898 31746 33522 35334 43186 44847 47619 50283 53001 61457 64779 72631 89694 95238 100566 106002 122914 129558 142857 145262 150849 184371 194337 217893 285714 301698 368742 388674 435786 553113 583011 653679 798941 1106226 1166022 1307358 1597882 1659339 1961037 2396823 3318678 3922074 4793646 7190469 14380938 21571407 43142814