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4444310031441 = 37478965377479
BaseRepresentation
bin100000010101100010110…
…0001010100110001010001
3120201212112121101220001120
41000223011201110301101
51040303421332001231
613241404323552453
7636043100651220
oct100530541246121
916655477356046
104444310031441
111463904171465
125b940652b729
1326313440b797
1411516a288cb7
157a917951d96
hex40ac5854c51

4444310031441 has 64 divisors (see below), whose sum is σ = 7004886220800. Its totient is φ = 2453848505856.

The previous prime is 4444310031431. The next prime is 4444310031461. The reversal of 4444310031441 is 1441300134444.

It is not a de Polignac number, because 4444310031441 - 29 = 4444310030929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4444310031401) 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, 57322740 + ... + 57400218.

It is an arithmetic number, because the mean of its divisors is an integer number (109451347200).

Almost surely, 24444310031441 is an apocalyptic number.

It is an amenable number.

4444310031441 is a deficient number, since it is larger than the sum of its proper divisors (2560576189359).

4444310031441 is a wasteful number, since it uses less digits than its factorization.

4444310031441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78278.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4444310031441 its reverse (1441300134444), we get a palindrome (5885610165885).

The spelling of 4444310031441 in words is "four trillion, four hundred forty-four billion, three hundred ten million, thirty-one thousand, four hundred forty-one".

Divisors: 1 3 7 21 47 89 141 267 329 623 653 987 1869 1959 4183 4571 12549 13713 29281 30691 58117 77479 87843 92073 174351 214837 232437 406819 542353 644511 1220457 1627059 2731499 3641513 6895631 8194497 10924539 19120493 20686893 25490591 48269417 50593787 57361479 76471773 144808251 151781361 324094657 354156509 972283971 1062469527 2268662599 2377907989 4502847043 6805987797 7133723967 13508541129 16645355923 31519929301 49936067769 94559787903 211633811021 634901433063 1481436677147 4444310031441