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34131653261052 = 22343341591936433
BaseRepresentation
bin1111100001010111001010…
…00100010111011011111100
311110211221202121020001211220
413300223211010113123330
513433203111213323202
6200331510503313340
710121634120555624
oct760534504273374
9143757677201756
1034131653261052
11a96a1755012a6
1239b2b3974b850
1316077a77a2a89
1485dda3591884
153e2c98d17abc
hex1f0ae51176fc

34131653261052 has 48 divisors (see below), whose sum is σ = 81495057262080. Its totient is φ = 11112300235008.

The previous prime is 34131653261033. The next prime is 34131653261087. The reversal of 34131653261052 is 25016235613143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34131653260995 and 34131653261013.

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, 16657828 + ... + 18594260.

It is an arithmetic number, because the mean of its divisors is an integer number (1697813692960).

Almost surely, 234131653261052 is an apocalyptic number.

It is an amenable number.

34131653261052 is an abundant number, since it is smaller than the sum of its proper divisors (47363404001028).

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

34131653261052 is a wasteful number, since it uses less digits than its factorization.

34131653261052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970642 (or 1970640 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

Adding to 34131653261052 its reverse (25016235613143), we get a palindrome (59147888874195).

The spelling of 34131653261052 in words is "thirty-four trillion, one hundred thirty-one billion, six hundred fifty-three million, two hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 34159 68318 102477 136636 204954 409908 1468837 1936433 2937674 3872866 4406511 5809299 5875348 7745732 8813022 11618598 17626044 23237196 83266619 166533238 249799857 333066476 499599714 999199428 66146614847 132293229694 198439844541 264586459388 396879689082 793759378164 2844304438421 5688608876842 8532913315263 11377217753684 17065826630526 34131653261052