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34041440211220 = 22513532470351249
BaseRepresentation
bin1111011110101111000111…
…11100111001000100010100
311110112022220111110022022001
413233113203330321010110
513430213332143224340
6200222231032445044
710112261423363551
oct757274374710424
9143468814408261
1034041440211220
11a9349915a4772
123999561549784
1315cc12b7a7710
14859886275a28
153e0768e0529a
hex1ef5e3f39114

34041440211220 has 48 divisors (see below), whose sum is σ = 78438592890000. Its totient is φ = 12331993430016.

The previous prime is 34041440211203. The next prime is 34041440211241. The reversal of 34041440211220 is 2211204414043.

It can be written as a sum of positive squares in 8 ways, for example, as 1390592826756 + 32650847384464 = 1179234^2 + 5714092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235161845 + ... + 1235189404.

It is an arithmetic number, because the mean of its divisors is an integer number (1634137351875).

Almost surely, 234041440211220 is an apocalyptic number.

It is an amenable number.

34041440211220 is an abundant number, since it is smaller than the sum of its proper divisors (44397152678780).

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

34041440211220 is a wasteful number, since it uses less digits than its factorization.

34041440211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470351324 (or 2470351322 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 34041440211220 its reverse (2211204414043), we get a palindrome (36252644625263).

The spelling of 34041440211220 in words is "thirty-four trillion, forty-one billion, four hundred forty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 2470351249 4940702498 9881404996 12351756245 24703512490 32114566237 49407024980 64229132474 128458264948 130928616197 160572831185 261857232394 321145662370 523714464788 642291324740 654643080985 1309286161970 1702072010561 2618572323940 3404144021122 6808288042244 8510360052805 17020720105610 34041440211220