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233640001441 = 711101199150967
BaseRepresentation
bin1101100110011000000…
…1110111111110100001
3211100001202212211010201
43121212001313332201
512311443320021231
6255155512025201
722610550146650
oct3314601677641
9740052784121
10233640001441
11900a4765190
1239345692201
131905585b782
14b445b2d197
156126912161
hex3666077fa1

233640001441 has 32 divisors (see below), whose sum is σ = 295655731200. Its totient is φ = 179347608000.

The previous prime is 233640001433. The next prime is 233640001457. The reversal of 233640001441 is 144100046332.

It is not a de Polignac number, because 233640001441 - 23 = 233640001433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233640001411) 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, 1472140 + ... + 1623106.

It is an arithmetic number, because the mean of its divisors is an integer number (9239241600).

Almost surely, 2233640001441 is an apocalyptic number.

It is an amenable number.

233640001441 is a deficient number, since it is larger than the sum of its proper divisors (62015729759).

233640001441 is a wasteful number, since it uses less digits than its factorization.

233640001441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151285.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 233640001441 its reverse (144100046332), we get a palindrome (377740047773).

The spelling of 233640001441 in words is "two hundred thirty-three billion, six hundred forty million, one thousand, four hundred forty-one".

Divisors: 1 7 11 77 101 199 707 1111 1393 2189 7777 15323 20099 140693 150967 221089 1056769 1547623 1660637 11624459 15247667 30042433 106733669 167724337 210297031 330466763 1174070359 2313267341 3034285733 21240000131 33377143063 233640001441