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1345440231136 = 2517191271024963
BaseRepresentation
bin10011100101000010011…
…111001010111011100000
311202121211001011100212201
4103211002133022323200
5134020430144344021
62510030421302544
7166130156161351
oct23450237127340
94677731140781
101345440231136
11479663a31421
12198909264a54
1399b4a294981
1449196491d28
1524ee8322591
hex139427caee0

1345440231136 has 96 divisors (see below), whose sum is σ = 2975511490560. Its totient is φ = 595101136896.

The previous prime is 1345440231133. The next prime is 1345440231137. The reversal of 1345440231136 is 6311320445431.

It is a junction number, because it is equal to n+sod(n) for n = 1345440231095 and 1345440231104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345440231133) 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, 800191 + ... + 1825153.

It is an arithmetic number, because the mean of its divisors is an integer number (30994911360).

Almost surely, 21345440231136 is an apocalyptic number.

1345440231136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345440231136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487755745280).

1345440231136 is an abundant number, since it is smaller than the sum of its proper divisors (1630071259424).

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

1345440231136 is a wasteful number, since it uses less digits than its factorization.

1345440231136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025136 (or 1025128 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 1345440231136 its reverse (6311320445431), we get a palindrome (7656760676567).

The spelling of 1345440231136 in words is "one trillion, three hundred forty-five billion, four hundred forty million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 127 136 152 254 272 304 323 508 544 608 646 1016 1292 2032 2159 2413 2584 4064 4318 4826 5168 8636 9652 10336 17272 19304 34544 38608 41021 69088 77216 82042 164084 328168 656336 1024963 1312672 2049926 4099852 8199704 16399408 17424371 19474297 32798816 34848742 38948594 69697484 77897188 130170301 139394968 155794376 260340602 278789936 311588752 331063049 520681204 557579872 623177504 662126098 1041362408 1324252196 2082724816 2212895117 2473235719 2648504392 4165449632 4425790234 4946471438 5297008784 8851580468 9892942876 10594017568 17703160936 19785885752 35406321872 39571771504 42045007223 70812643744 79143543008 84090014446 168180028892 336360057784 672720115568 1345440231136