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42433333333424 = 24113123773271927
BaseRepresentation
bin10011010010111110001111…
…10000101000110110110000
312120020120211221220000110222
421221133013300220312300
521030211431313132144
6230125334302312212
711636464362104645
oct1151370760506660
9176216757800428
1042433333333424
111257a96a482aa0
124913a45588668
131a8a5a52b58a7
14a69ada14bdcc
154d8bc5ba62ee
hex2697c7c28db0

42433333333424 has 80 divisors (see below), whose sum is σ = 92620795508736. Its totient is φ = 18657830822400.

The previous prime is 42433333333397. The next prime is 42433333333493.

42433333333424 is nontrivially palindromic in base 10.

42433333333424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11332949 + ... + 14604875.

Almost surely, 242433333333424 is an apocalyptic number.

42433333333424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42433333333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46310397754368).

42433333333424 is an abundant number, since it is smaller than the sum of its proper divisors (50187462175312).

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

42433333333424 is a wasteful number, since it uses less digits than its factorization.

42433333333424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274354 (or 3274348 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 44.

It can be divided in two parts, 4243333 and 3333424, that added together give a palindrome (7576757).

The spelling of 42433333333424 in words is "forty-two trillion, four hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2377 2728 4754 5456 9508 19016 26147 38032 52294 73687 104588 147374 209176 294748 418352 589496 810557 1178992 1621114 3242228 3271927 6484456 6543854 12968912 13087708 26175416 35991197 52350832 71982394 101429737 143964788 202859474 287929576 405718948 575859152 811437896 1115727107 1622875792 2231454214 4462908428 7777370479 8925816856 15554740958 17851633712 31109481916 62218963832 85551075269 124437927664 171102150538 241098484849 342204301076 482196969698 684408602152 964393939396 1368817204304 1928787878792 2652083333339 3857575757584 5304166666678 10608333333356 21216666666712 42433333333424