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13044042244401 = 371931289382231
BaseRepresentation
bin1011110111010000110110…
…0000010010000100110001
31201011222221201202100122120
42331310031200102010301
53202203144303310101
643424203354424453
72514254345452320
oct275641540220461
951158851670576
1013044042244401
114179a46875893
121568033432129
1373808133066c
143314993c20b7
1517948ae8ab36
hexbdd0d812131

13044042244401 has 96 divisors (see below), whose sum is σ = 21862447257600. Its totient is φ = 6756847891200.

The previous prime is 13044042244369. The next prime is 13044042244403. The reversal of 13044042244401 is 10444224044031.

It is not a de Polignac number, because 13044042244401 - 25 = 13044042244369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13044042244403) 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 95 ways as a sum of consecutive naturals, for example, 33934956 + ... + 34317186.

It is an arithmetic number, because the mean of its divisors is an integer number (227733825600).

Almost surely, 213044042244401 is an apocalyptic number.

It is an amenable number.

13044042244401 is a deficient number, since it is larger than the sum of its proper divisors (8818405013199).

13044042244401 is a wasteful number, since it uses less digits than its factorization.

13044042244401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382411 (or 382380 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 13044042244401 its reverse (10444224044031), we get a palindrome (23488266288432).

The spelling of 13044042244401 in words is "thirteen trillion, forty-four billion, forty-two million, two hundred forty-four thousand, four hundred one".

Divisors: 1 3 7 19 21 31 57 89 93 133 217 267 399 589 623 651 961 1691 1767 1869 2759 2883 4123 5073 6727 8277 11837 12369 18259 19313 20181 35511 52421 54777 57939 85529 127813 157263 256587 366947 382231 383439 598703 1100841 1146693 1625051 1796109 2675617 4875153 7262389 8026851 11375357 11849161 21787167 34018559 34126071 35547483 50836723 82944127 102055677 152510169 225134059 238129913 248832381 367323991 646352621 675402177 714389739 1054575329 1101971973 1575938413 1939057863 2571267937 3163725987 4524468347 4727815239 6979155829 7382027303 7713803811 13573405041 20036931251 20937467487 22146081909 32691835199 48854090803 60110793753 98075505597 140258518757 146562272409 228842846393 420775556271 621144868781 686528539179 1863434606343 4348014081467 13044042244401