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1308097230048 = 253274349149197
BaseRepresentation
bin10011000010010000101…
…010111011010011100000
311122001102112201100200100
4103002100222323103200
5132412440342330143
62440533115222400
7163335603666150
oct23022052732340
94561375640610
101308097230048
11464840869a54
12191627147a00
139647882131b
1447452b22760
152405ec296d3
hex13090abb4e0

1308097230048 has 144 divisors (see below), whose sum is σ = 4252322037600. Its totient is φ = 373653623808.

The previous prime is 1308097230031. The next prime is 1308097230061. The reversal of 1308097230048 is 8400327908031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13080972300482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1308097229985 and 1308097230012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8692986 + ... + 8842182.

It is an arithmetic number, because the mean of its divisors is an integer number (29530014150).

Almost surely, 21308097230048 is an apocalyptic number.

1308097230048 is a gapful number since it is divisible by the number (18) 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 1308097230048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126161018800).

1308097230048 is an abundant number, since it is smaller than the sum of its proper divisors (2944224807552).

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

1308097230048 is a wasteful number, since it uses less digits than its factorization.

1308097230048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153569 (or 153558 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1308097230048 in words is "one trillion, three hundred eight billion, ninety-seven million, two hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4349 8698 13047 17396 26094 30443 34792 39141 52188 60886 69584 78282 91329 104376 121772 139168 149197 156564 182658 208752 243544 273987 298394 313128 365316 417504 447591 487088 547974 596788 626256 730632 895182 974176 1044379 1095948 1193576 1252512 1342773 1461264 1790364 2088758 2191896 2387152 2685546 2922528 3133137 3580728 4177516 4383792 4774304 5371092 6266274 7161456 8355032 8767584 9399411 10742184 12532548 14322912 16710064 18798822 21484368 25065096 33420128 37597644 42968736 50130192 75195288 100260384 150390576 300781152 648857753 1297715506 1946573259 2595431012 3893146518 4542004271 5190862024 5839719777 7786293036 9084008542 10381724048 11679439554 13626012813 15572586072 18168017084 20763448096 23358879108 27252025626 31145172144 36336034168 40878038439 46717758216 54504051252 62290344288 72672068336 81756076878 93435516432 109008102504 145344136672 163512153756 186871032864 218016205008 327024307512 436032410016 654048615024 1308097230048