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33014311242 = 23113122292273
BaseRepresentation
bin11110101111110011…
…100110100101001010
310011012211020210001020
4132233303212211022
51020103130424432
623055551133310
72246061005163
oct365763464512
9104184223036
1033014311242
1113001799750
126494514236
133161a1a613
1418528d876a
15cd359822c
hex7afce694a

33014311242 has 96 divisors (see below), whose sum is σ = 74787675840. Its totient is φ = 9635097600.

The previous prime is 33014311241. The next prime is 33014311261. The reversal of 33014311242 is 24211341033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (33014311241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14523418 + ... + 14525690.

It is an arithmetic number, because the mean of its divisors is an integer number (779038290).

Almost surely, 233014311242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33014311242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37393837920).

33014311242 is an abundant number, since it is smaller than the sum of its proper divisors (41773364598).

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

33014311242 is a wasteful number, since it uses less digits than its factorization.

33014311242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33014311242 its reverse (24211341033), we get a palindrome (57225652275).

The spelling of 33014311242 in words is "thirty-three billion, fourteen million, three hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 229 341 458 682 687 961 1023 1374 1922 2046 2273 2519 2883 4546 5038 5766 6819 7099 7557 10571 13638 14198 15114 21142 21297 25003 31713 42594 50006 63426 70463 75009 78089 140926 150018 156178 211389 220069 234267 422778 440138 468534 520517 660207 775093 1041034 1320414 1550186 1561551 2184353 2325279 2420759 3123102 4368706 4650558 4841518 5725687 6553059 7262277 11451374 13106118 14524554 16136027 17177061 24027883 32272054 34354122 48055766 48408081 72083649 96816162 144167298 177496297 354992594 500216837 532488891 1000433674 1064977782 1500650511 3001301022 5502385207 11004770414 16507155621 33014311242