Search a number
-
+
33010011440 = 2457349168901
BaseRepresentation
bin11110101111100011…
…001100110100110000
310011012112011022211022
4132233203030310300
51020101030331230
623055315035012
72246006316260
oct365743146460
9104175138738
1033010011440
1112aaa32219a
126492b9ba68
133160b73463
1418520d97a0
15cd2ee91e5
hex7af8ccd30

33010011440 has 80 divisors (see below), whose sum is σ = 87964161600. Its totient is φ = 11285222400.

The previous prime is 33010011431. The next prime is 33010011457. The reversal of 33010011440 is 4411001033.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110990 + ... + 279890.

It is an arithmetic number, because the mean of its divisors is an integer number (1099552020).

Almost surely, 233010011440 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 33010011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43982080800).

33010011440 is an abundant number, since it is smaller than the sum of its proper divisors (54954150160).

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

33010011440 is a wasteful number, since it uses less digits than its factorization.

33010011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169270 (or 169264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 33010011440 its reverse (4411001033), we get a palindrome (37421012473).

The spelling of 33010011440 in words is "thirty-three billion, ten million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 349 560 698 1396 1745 2443 2792 3490 4886 5584 6980 9772 12215 13960 19544 24430 27920 39088 48860 97720 168901 195440 337802 675604 844505 1182307 1351208 1689010 2364614 2702416 3378020 4729228 5911535 6756040 9458456 11823070 13512080 18916912 23646140 47292280 58946449 94584560 117892898 235785796 294732245 412625143 471571592 589464490 825250286 943143184 1178928980 1650500572 2063125715 2357857960 3301001144 4126251430 4715715920 6602002288 8252502860 16505005720 33010011440