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101444114043 = 33196122314537
BaseRepresentation
bin101111001111010001…
…0100101011001111011
3100200211210222221022000
41132132202211121323
53130224143122133
6114334111232043
710220610512346
oct1363642453173
9320753887260
10101444114043
113a027615388
12177b1518623
139748a654ac
144ca4b7745d
15298ade5413
hex179e8a567b

101444114043 has 64 divisors (see below), whose sum is σ = 161522995200. Its totient is φ = 62732724480.

The previous prime is 101444114041. The next prime is 101444114137. The reversal of 101444114043 is 340411444101.

101444114043 is a `hidden beast` number, since 101 + 444 + 114 + 0 + 4 + 3 = 666.

It is not a de Polignac number, because 101444114043 - 21 = 101444114041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101444113998 and 101444114016.

It is not an unprimeable number, because it can be changed into a prime (101444114041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6971071 + ... + 6985607.

It is an arithmetic number, because the mean of its divisors is an integer number (2523796800).

Almost surely, 2101444114043 is an apocalyptic number.

101444114043 is a deficient number, since it is larger than the sum of its proper divisors (60078881157).

101444114043 is a wasteful number, since it uses less digits than its factorization.

101444114043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14849 (or 14843 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101444114043 its reverse (340411444101), we get a palindrome (441855558144).

The spelling of 101444114043 in words is "one hundred one billion, four hundred forty-four million, one hundred fourteen thousand, forty-three".

Divisors: 1 3 9 19 27 57 61 171 183 223 513 549 669 1159 1647 2007 3477 4237 6021 10431 12711 13603 14537 31293 38133 40809 43611 114399 122427 130833 258457 276203 367281 392499 775371 828609 886757 2326113 2485827 2660271 3241751 6978339 7457481 7980813 9725253 16848383 23942439 29175759 50545149 61593269 87527277 151635447 184779807 197746811 454906341 554339421 593240433 1663018263 1779721299 3757189409 5339163897 11271568227 33814704681 101444114043