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332214033430041 = 37174362581345811
BaseRepresentation
bin100101110001001011001101…
…1011100111011011000011001
31121120021100111012010222202220
41023202112123130323120121
5322020443320024230131
63134321004155414253
7126655446305622510
oct11342263334733031
91546240435128686
10332214033430041
11969431a9084224
123131537b754389
131134a85890c749
145c0736044d677
1528619b1ac2e96
hex12e259b73b619

332214033430041 has 64 divisors (see below), whose sum is σ = 548484877264896. Its totient is φ = 174511328947200.

The previous prime is 332214033430039. The next prime is 332214033430063. The reversal of 332214033430041 is 140034330412233.

It is a happy number.

It is not a de Polignac number, because 332214033430041 - 21 = 332214033430039 is a prime.

It is a super-2 number, since 2×3322140334300412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332214033429984 and 332214033430011.

It is not an unprimeable number, because it can be changed into a prime (332214033430021) 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, 960508026 + ... + 960853836.

It is an arithmetic number, because the mean of its divisors is an integer number (8570076207264).

Almost surely, 2332214033430041 is an apocalyptic number.

It is an amenable number.

332214033430041 is a deficient number, since it is larger than the sum of its proper divisors (216270843834855).

332214033430041 is a wasteful number, since it uses less digits than its factorization.

332214033430041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408462.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 332214033430041 its reverse (140034330412233), we get a palindrome (472248363842274).

The spelling of 332214033430041 in words is "three hundred thirty-two trillion, two hundred fourteen billion, thirty-three million, four hundred thirty thousand, forty-one".

Divisors: 1 3 7 17 21 43 51 119 129 301 357 731 903 2193 5117 15351 62581 187743 345811 438067 1037433 1063877 1314201 2420677 2690983 3191631 5878787 7262031 7447139 8072949 14869873 17636361 18836881 22341417 41151509 44609619 45746711 56510643 104089111 123454527 137240133 252787841 312267333 320226977 758363523 960680931 1769514887 5308544661 21641198191 64923594573 151488387337 367900369247 454465162011 930571522213 1103701107741 2575302584729 2791714566639 6514000655491 7725907754187 15819715877621 19542001966473 47459147632863 110738011143347 332214033430041