Search a number
-
+
33320012241144 = 2334353609185539
BaseRepresentation
bin1111001001101111010110…
…11111100101100011111000
311100222100202221110020121210
413210313223133211203320
513331403341113204034
6154511000255403120
710006201651665216
oct744675337454370
9140870687406553
1033320012241144
11a686a35293aa2
1238a17848234a0
1315790a9b70355
148329a9175cb6
153cbae3a648e9
hex1e4deb7e58f8

33320012241144 has 64 divisors (see below), whose sum is σ = 86845490582400. Its totient is φ = 10643689719936.

The previous prime is 33320012241133. The next prime is 33320012241149. The reversal of 33320012241144 is 44114221002333.

It is a super-2 number, since 2×333200122411442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33320012241149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304538074 + ... + 304647465.

It is an arithmetic number, because the mean of its divisors is an integer number (1356960790350).

Almost surely, 233320012241144 is an apocalyptic number.

It is an amenable number.

33320012241144 is an abundant number, since it is smaller than the sum of its proper divisors (53525478341256).

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

33320012241144 is a wasteful number, since it uses less digits than its factorization.

33320012241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609185644 (or 609185640 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 33320012241144 its reverse (44114221002333), we get a palindrome (77434233243477).

The spelling of 33320012241144 in words is "thirty-three trillion, three hundred twenty billion, twelve million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 53 86 106 129 159 172 212 258 318 344 424 516 636 1032 1272 2279 4558 6837 9116 13674 18232 27348 54696 609185539 1218371078 1827556617 2436742156 3655113234 4873484312 7310226468 14620452936 26194978177 32286833567 52389956354 64573667134 78584934531 96860500701 104779912708 129147334268 157169869062 193721001402 209559825416 258294668536 314339738124 387442002804 628679476248 774884005608 1388333843381 2776667686762 4165001530143 5553335373524 8330003060286 11106670747048 16660006120572 33320012241144