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12441413333433 = 3729792069124987
BaseRepresentation
bin1011010100001011111000…
…0001011011000110111001
31122001101110111010210021110
42311002332001123012321
53112320003303132213
642243301213430533
72422601551311660
oct265027601330671
948041414123243
1012441413333433
113a674125305a7
12148b29019b449
136c32b2b49b46
1431024bd31dd7
1516896a42b5c3
hexb50be05b1b9

12441413333433 has 64 divisors (see below), whose sum is σ = 19870092288000. Its totient is φ = 6774009225984.

The previous prime is 12441413333417. The next prime is 12441413333579. The reversal of 12441413333433 is 33433331414421.

12441413333433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12441413333433 - 24 = 12441413333417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12441413333391 and 12441413333400.

It is not an unprimeable number, because it can be changed into a prime (12441413333033) 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, 99479166 + ... + 99604152.

It is an arithmetic number, because the mean of its divisors is an integer number (310470192000).

Almost surely, 212441413333433 is an apocalyptic number.

It is an amenable number.

12441413333433 is a deficient number, since it is larger than the sum of its proper divisors (7428678954567).

12441413333433 is a wasteful number, since it uses less digits than its factorization.

12441413333433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127174.

The product of its digits is 373248, while the sum is 39.

Adding to 12441413333433 its reverse (33433331414421), we get a palindrome (45874744747854).

The spelling of 12441413333433 in words is "twelve trillion, four hundred forty-one billion, four hundred thirteen million, three hundred thirty-three thousand, four hundred thirty-three".

Divisors: 1 3 7 21 29 79 87 203 237 553 609 1659 2069 2291 6207 6873 14483 16037 43449 48111 60001 124987 163451 180003 374961 420007 490353 874909 1144157 1260021 2624727 3432471 3624623 4740079 9873973 10873869 14220237 25372361 29621919 33180553 69117811 76117083 99541659 207353433 258598103 286345217 775794309 859035651 1810186721 2004416519 5430560163 6013249557 7499344987 20429250137 22498034961 52495414909 61287750411 143004750959 157486244727 429014252877 592448253973 1777344761919 4147137777811 12441413333433