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13142302113144 = 2337123159333029
BaseRepresentation
bin1011111100111110111000…
…1111111011110101111000
31201112101120122000212120110
42333033232033323311320
53210310413320110034
643541253520424320
72524333332533001
oct277175617736570
951471518025513
1013142302113144
114207689a18586
1215830964780a0
13744410482329
1433613b2b21a8
1517bcdc545de9
hexbf3ee3fbd78

13142302113144 has 64 divisors (see below), whose sum is σ = 33320051136000. Its totient is φ = 4318866957440.

The previous prime is 13142302113119. The next prime is 13142302113173. The reversal of 13142302113144 is 44131120324131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39296422 + ... + 39629450.

It is an arithmetic number, because the mean of its divisors is an integer number (520625799000).

Almost surely, 213142302113144 is an apocalyptic number.

It is an amenable number.

13142302113144 is an abundant number, since it is smaller than the sum of its proper divisors (20177749022856).

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

13142302113144 is a wasteful number, since it uses less digits than its factorization.

13142302113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356268 (or 356264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13142302113144 its reverse (44131120324131), we get a palindrome (57273422437275).

The spelling of 13142302113144 in words is "thirteen trillion, one hundred forty-two billion, three hundred two million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 23159 46318 69477 92636 138954 185272 277908 333029 555816 666058 999087 1332116 1644289 1998174 2664232 3288578 3996348 4932867 6577156 7992696 9865734 13154312 19731468 23645059 39462936 47290118 70935177 94580236 141870354 189160472 283740708 567481416 7712618611 15425237222 23137855833 30850474444 46275711666 61700948888 92551423332 185102846664 547595921381 1095191842762 1642787764143 2190383685524 3285575528286 4380767371048 6571151056572 13142302113144