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42444433230332 = 22721733427336523
BaseRepresentation
bin10011010011010010111010…
…10111011000100111111100
312120021122111112022012111212
421221221131113120213330
521030402144401332312
6230134411535503552
711640336423503300
oct1151513527304774
9176248445265455
1042444433230332
1112584646041911
124916022987bb8
131a8b653b18b23
14a6a4703c3d00
154d91253c9822
hex269a5d5d89fc

42444433230332 has 72 divisors (see below), whose sum is σ = 86909103587376. Its totient is φ = 18084301304832.

The previous prime is 42444433230323. The next prime is 42444433230371. The reversal of 42444433230332 is 23303233444424.

42444433230332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424444332303322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42444433230332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162110623 + ... + 1162147145.

It is an arithmetic number, because the mean of its divisors is an integer number (1207070883158).

Almost surely, 242444433230332 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 42444433230332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43454551793688).

42444433230332 is an abundant number, since it is smaller than the sum of its proper divisors (44464670357044).

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

42444433230332 is a wasteful number, since it uses less digits than its factorization.

42444433230332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70987 (or 70978 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 41.

Adding to 42444433230332 its reverse (23303233444424), we get a palindrome (65747666674756).

The spelling of 42444433230332 in words is "forty-two trillion, four hundred forty-four billion, four hundred thirty-three million, two hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 4844 8477 16954 33908 34273 36523 68546 73046 137092 146092 239911 255661 479822 511322 959644 1022644 1679377 1789627 3358754 3579254 5929229 6318479 6717508 7158508 11858458 12636958 23716916 25273916 41504603 44229353 83009206 88458706 166018412 176917412 290532221 309605471 581064442 619210942 1162128884 1238421884 1251752779 2503505558 5007011116 8762269453 17524538906 35049077812 61335886171 122671772342 216553230767 245343544684 433106461534 866212923068 1515872615369 3031745230738 6063490461476 10611108307583 21222216615166 42444433230332