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1404414140441 = 132359691115211
BaseRepresentation
bin10100011011111101100…
…110110010000000011001
311222021001000222100210212
4110123331212302000121
5141002220004443231
62553102353020505
7203315456141114
oct24337546620031
94867030870725
101404414140441
114a1677195344
121a8227554735
13a258827b1b0
144bd8c96557b
15267ea93d42b
hex146fd9b2019

1404414140441 has 32 divisors (see below), whose sum is σ = 1607290352640. Its totient is φ = 1217225908800.

The previous prime is 1404414140429. The next prime is 1404414140501. The reversal of 1404414140441 is 1440414144041.

It is not a de Polignac number, because 1404414140441 - 26 = 1404414140377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1404414140398 and 1404414140407.

It is not an unprimeable number, because it can be changed into a prime (1404414140411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12132326 + ... + 12247536.

It is an arithmetic number, because the mean of its divisors is an integer number (50227823520).

Almost surely, 21404414140441 is an apocalyptic number.

It is an amenable number.

1404414140441 is a deficient number, since it is larger than the sum of its proper divisors (202876212199).

1404414140441 is a wasteful number, since it uses less digits than its factorization.

1404414140441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115997.

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 1404414140441 its reverse (1440414144041), we get a palindrome (2844828284482).

The spelling of 1404414140441 in words is "one trillion, four hundred four billion, four hundred fourteen million, one hundred forty thousand, four hundred forty-one".

Divisors: 1 13 23 59 299 691 767 1357 8983 15893 17641 40769 115211 206609 529997 937687 1497743 2649853 6797449 12189931 34448089 79610801 88366837 156341327 1034940413 1831048423 2032437251 4697037259 23803629499 61061484367 108031856957 1404414140441