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1344580128081 = 33127503779563
BaseRepresentation
bin10011100100001111001…
…110001000110101010001
311202112121002201121022000
4103210033032020311101
5134012200003044311
62505405214304213
7166066643341311
oct23441716106521
94675532647260
101344580128081
1147926247a253
121987091b8069
1399a41029c58
144911415d441
1524e97a77056
hex1390f388d51

1344580128081 has 32 divisors (see below), whose sum is σ = 2011649310720. Its totient is φ = 887559401232.

The previous prime is 1344580128079. The next prime is 1344580128113. The reversal of 1344580128081 is 1808210854431.

1344580128081 is a `hidden beast` number, since 1 + 3 + 44 + 580 + 1 + 28 + 0 + 8 + 1 = 666.

It is not a de Polignac number, because 1344580128081 - 21 = 1344580128079 is a prime.

It is a super-2 number, since 2×13445801280812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1344580128011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335006 + ... + 2114568.

It is an arithmetic number, because the mean of its divisors is an integer number (62864040960).

Almost surely, 21344580128081 is an apocalyptic number.

It is an amenable number.

1344580128081 is a deficient number, since it is larger than the sum of its proper divisors (667069182639).

1344580128081 is a wasteful number, since it uses less digits than its factorization.

1344580128081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780202 (or 780196 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1344580128081 in words is "one trillion, three hundred forty-four billion, five hundred eighty million, one hundred twenty-eight thousand, eighty-one".

Divisors: 1 3 9 27 127 381 503 1143 1509 3429 4527 13581 63881 191643 574929 779563 1724787 2338689 7016067 21048201 99004501 297013503 392120189 891040509 1176360567 2673121527 3529081701 10587245103 49799264003 149397792009 448193376027 1344580128081