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1395533306112 = 28311719229751
BaseRepresentation
bin10100010011101100010…
…001000101100100000000
311221102010010010020100220
4110103230101011210000
5140331023011243422
62545033225543040
7202552421244621
oct24235421054400
94842103106326
101395533306112
1149892a196040
121a6569344a80
13a17a13c213a
144b7892cda48
152647ae4ee5c
hex144ec445900

1395533306112 has 144 divisors (see below), whose sum is σ = 4057457080320. Its totient is φ = 422298880000.

The previous prime is 1395533306099. The next prime is 1395533306179. The reversal of 1395533306112 is 2116033355931.

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, 5959237 + ... + 6188987.

It is an arithmetic number, because the mean of its divisors is an integer number (28176785280).

Almost surely, 21395533306112 is an apocalyptic number.

1395533306112 is a gapful number since it is divisible by the number (12) 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 1395533306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028728540160).

1395533306112 is an abundant number, since it is smaller than the sum of its proper divisors (2661923774208).

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

1395533306112 is a wasteful number, since it uses less digits than its factorization.

1395533306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230500 (or 230486 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 42.

The spelling of 1395533306112 in words is "one trillion, three hundred ninety-five billion, five hundred thirty-three million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 719 768 1056 1408 1438 2112 2157 2816 2876 4224 4314 5752 7909 8448 8628 11504 15818 17256 23008 23727 31636 34512 46016 47454 63272 69024 92032 94908 126544 138048 184064 189816 229751 253088 276096 379632 459502 506176 552192 689253 759264 919004 1012352 1378506 1518528 1838008 2024704 2527261 2757012 3037056 3676016 5054522 5514024 6074112 7352032 7581783 10109044 11028048 14704064 15163566 20218088 22056096 29408128 30327132 40436176 44112192 58816256 60654264 80872352 88224384 121308528 161744704 165190969 176448768 242617056 323489408 330381938 485234112 495572907 646978816 660763876 970468224 991145814 1321527752 1817100659 1940936448 1982291628 2643055504 3634201318 3964583256 5286111008 5451301977 7268402636 7929166512 10572222016 10902603954 14536805272 15858333024 21144444032 21805207908 29073610544 31716666048 42288888064 43610415816 58147221088 63433332096 87220831632 116294442176 126866664192 174441663264 232588884352 348883326528 465177768704 697766653056 1395533306112