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2334144033441 = 3211208311318873
BaseRepresentation
bin100001111101110101110…
…100110111001010100001
322021010211111210111021100
4201331311310313022201
5301220311333032231
64544142503145013
7330431156632413
oct41756564671241
98233744714240
102334144033441
1181a9a5501840
12318458145169
1313c15516995c
1480d8a5649b3
1540ab2edc1e6
hex21f75d372a1

2334144033441 has 24 divisors (see below), whose sum is σ = 3679811212896. Its totient is φ = 1413953490240.

The previous prime is 2334144033437. The next prime is 2334144033479. The reversal of 2334144033441 is 1443304414332.

2334144033441 is a `hidden beast` number, since 233 + 4 + 14 + 40 + 334 + 41 = 666.

It is not a de Polignac number, because 2334144033441 - 22 = 2334144033437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2334144033396 and 2334144033405.

It is not an unprimeable number, because it can be changed into a prime (2334144033401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5453220 + ... + 5865653.

It is an arithmetic number, because the mean of its divisors is an integer number (153325467204).

Almost surely, 22334144033441 is an apocalyptic number.

It is an amenable number.

2334144033441 is a deficient number, since it is larger than the sum of its proper divisors (1345667179455).

2334144033441 is a wasteful number, since it uses less digits than its factorization.

2334144033441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320973 (or 11320970 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 2334144033441 its reverse (1443304414332), we get a palindrome (3777448447773).

The spelling of 2334144033441 in words is "two trillion, three hundred thirty-four billion, one hundred forty-four million, thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 2083 6249 18747 22913 68739 206217 11318873 33956619 101869857 124507603 373522809 1120568427 23577212459 70731637377 212194912131 259349337049 778048011147 2334144033441