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133020344131614 = 23310142735707817
BaseRepresentation
bin11110001111101100110110…
…010111000010000000011110
3122102222121202111100112022000
4132033230312113002000132
5114413401131044202424
61150524411422503130
740006255063215612
oct3617546627020036
9572877674315260
10133020344131614
113942567a47a115
1212b04298134aa6
13592b9c2b6ca94
1424bc30cd5b342
15105a26ed833c9
hex78fb365c201e

133020344131614 has 64 divisors (see below), whose sum is σ = 298597420975680. Its totient is φ = 43890821913600.

The previous prime is 133020344131583. The next prime is 133020344131663. The reversal of 133020344131614 is 416131443020331.

133020344131614 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 0 + 3 + 4 + 4 + 1 + 31 + 614 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20451034 + ... + 26158850.

It is an arithmetic number, because the mean of its divisors is an integer number (4665584702745).

Almost surely, 2133020344131614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133020344131614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149298710487840).

133020344131614 is an abundant number, since it is smaller than the sum of its proper divisors (165577076844066).

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

133020344131614 is a wasteful number, since it uses less digits than its factorization.

133020344131614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712202 (or 5712196 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 133020344131614 its reverse (416131443020331), we get a palindrome (549151787151945).

The spelling of 133020344131614 in words is "one hundred thirty-three trillion, twenty billion, three hundred forty-four million, one hundred thirty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 4273 5454 8546 12819 25638 38457 76914 115371 230742 431573 863146 1294719 2589438 3884157 5707817 7768314 11415634 11652471 17123451 23304942 34246902 51370353 102740706 154111059 308222118 576489517 1152979034 1729468551 3458937102 5188405653 10376811306 15565216959 24389502041 31130433918 48779004082 73168506123 146337012246 219505518369 439011036738 658516555107 1317033110214 2463339706141 4926679412282 7390019118423 14780038236846 22170057355269 44340114710538 66510172065807 133020344131614