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32231143344 = 2432922413313
BaseRepresentation
bin11110000001001000…
…000011011110110000
310002012020120201122210
4132001020003132300
51012002133041334
622450133132120
72220501124641
oct360110033660
9102166521583
1032231143344
111273a705054
1262b618a040
1330686abc6a
1417ba8b16c8
15c899485e9
hex7812037b0

32231143344 has 120 divisors (see below), whose sum is σ = 86617911952. Its totient is φ = 10327080960.

The previous prime is 32231143333. The next prime is 32231143397. The reversal of 32231143344 is 44334113223.

It is a happy number.

It is a super-2 number, since 2×322311433442 (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9727032 + ... + 9730344.

Almost surely, 232231143344 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 32231143344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43308955976).

32231143344 is an abundant number, since it is smaller than the sum of its proper divisors (54386768608).

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

32231143344 is a wasteful number, since it uses less digits than its factorization.

32231143344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3588 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 32231143344 its reverse (44334113223), we get a palindrome (76565256567).

The spelling of 32231143344 in words is "thirty-two billion, two hundred thirty-one million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 241 348 464 482 696 723 841 964 1392 1446 1682 1928 2523 2892 3313 3364 3856 5046 5784 6626 6728 6989 9939 10092 11568 13252 13456 13978 19878 20184 20967 26504 27956 39756 40368 41934 53008 55912 79512 83868 96077 111824 159024 167736 192154 202681 288231 335472 384308 405362 576462 608043 768616 798433 810724 1152924 1216086 1537232 1596866 1621448 2305848 2395299 2432172 2786233 3193732 3242896 4611696 4790598 4864344 5572466 6387464 8358699 9581196 9728688 11144932 12774928 16717398 19162392 22289864 23154557 33434796 38324784 44579728 46309114 66869592 69463671 92618228 133739184 138927342 185236456 277854684 370472912 555709368 671482153 1111418736 1342964306 2014446459 2685928612 4028892918 5371857224 8057785836 10743714448 16115571672 32231143344