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2002241411334 = 232416183535861
BaseRepresentation
bin11101001000101110111…
…000110101100100000110
321002102010122110100021200
4131020232320311210012
5230301042300130314
64131452250123330
7264441260121003
oct35105670654406
97072118410250
102002241411334
1170216709534a
1228406a720546
13116a6ca34a78
146cca242a8aa
1537139b79709
hex1d22ee35906

2002241411334 has 96 divisors (see below), whose sum is σ = 4571280106848. Its totient is φ = 632743488000.

The previous prime is 2002241411327. The next prime is 2002241411363. The reversal of 2002241411334 is 4331141422002.

2002241411334 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 241 + 411 + 3 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2002241411298 and 2002241411307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468564 + ... + 4004424.

It is an arithmetic number, because the mean of its divisors is an integer number (47617501113).

Almost surely, 22002241411334 is an apocalyptic number.

2002241411334 is an abundant number, since it is smaller than the sum of its proper divisors (2569038695514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002241411334 is a wasteful number, since it uses less digits than its factorization.

2002241411334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536054 (or 536051 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2002241411334 its reverse (4331141422002), we get a palindrome (6333382833336).

The spelling of 2002241411334 in words is "two trillion, two billion, two hundred forty-one million, four hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 41 61 82 83 122 123 166 183 246 249 366 369 498 549 738 747 1098 1494 2501 3403 5002 5063 6806 7503 10126 10209 15006 15189 20418 22509 30378 30627 45018 45567 61254 91134 207583 415166 535861 622749 1071722 1245498 1607583 1868247 3215166 3736494 4822749 9645498 21970301 32687521 43940602 44476463 65375042 65910903 88952926 98062563 131821806 133429389 196125126 197732709 266858778 294187689 395465418 400288167 588375378 800576334 1340188361 1823534983 2680376722 2713064243 3647069966 4020565083 5426128486 5470604949 8041130166 8139192729 10941209898 12061695249 16278385458 16411814847 24123390498 24417578187 32823629694 48835156374 111235633963 222471267926 333706901889 667413803778 1001120705667 2002241411334