Search a number
-
+
333144032034 = 2311103131374093
BaseRepresentation
bin1001101100100001110…
…11101000001100100010
31011211220101021022021010
410312100323220030202
520424234333011114
6413013320441350
733032422356342
oct4662073501442
91154811238233
10333144032034
11119316137110
1254695319256
1325552697898
14121a4d66d22
1589ec32cc59
hex4d90ee8322

333144032034 has 64 divisors (see below), whose sum is σ = 739520990208. Its totient is φ = 99209198400.

The previous prime is 333144032027. The next prime is 333144032041. The reversal of 333144032034 is 430230441333.

It is an interprime number because it is at equal distance from previous prime (333144032027) and next prime (333144032041).

It is a super-2 number, since 2×3331440320342 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 333144031992 and 333144032010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703492 + ... + 1077584.

It is an arithmetic number, because the mean of its divisors is an integer number (11555015472).

Almost surely, 2333144032034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333144032034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369760495104).

333144032034 is an abundant number, since it is smaller than the sum of its proper divisors (406376958174).

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

333144032034 is a wasteful number, since it uses less digits than its factorization.

333144032034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374343.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 333144032034 its reverse (430230441333), we get a palindrome (763374473367).

The spelling of 333144032034 in words is "three hundred thirty-three billion, one hundred forty-four million, thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 103 131 206 262 309 393 618 786 1133 1441 2266 2882 3399 4323 6798 8646 13493 26986 40479 80958 148423 296846 374093 445269 748186 890538 1122279 2244558 4115023 8230046 12345069 24690138 38531579 49006183 77063158 98012366 115594737 147018549 231189474 294037098 423847369 539068013 847694738 1078136026 1271542107 1617204039 2543084214 3234408078 5047636849 10095273698 15142910547 30285821094 55524005339 111048010678 166572016017 333144032034