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233142230314 = 271710111385831
BaseRepresentation
bin1101100100100001011…
…1000001110100101010
3211021210002020102112001
43121020113001310222
512304433402332224
6255034251041214
722562324155120
oct3311027016452
9737702212461
10233142230314
118a969790394
1239226a4020a
1318ca66a7046
14b3d9997910
1560e7d89544
hex36485c1d2a

233142230314 has 64 divisors (see below), whose sum is σ = 431159542272. Its totient is φ = 92284416000.

The previous prime is 233142230287. The next prime is 233142230339. The reversal of 233142230314 is 413032241332.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673379 + ... + 2759209.

It is an arithmetic number, because the mean of its divisors is an integer number (6736867848).

Almost surely, 2233142230314 is an apocalyptic number.

233142230314 is a deficient number, since it is larger than the sum of its proper divisors (198017311958).

233142230314 is a wasteful number, since it uses less digits than its factorization.

233142230314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86071.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 233142230314 its reverse (413032241332), we get a palindrome (646174471646).

It can be divided in two parts, 2331 and 42230314, that added together give a triangular number (42232645 = T9190).

The spelling of 233142230314 in words is "two hundred thirty-three billion, one hundred forty-two million, two hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 7 14 17 34 101 113 119 202 226 238 707 791 1414 1582 1717 1921 3434 3842 11413 12019 13447 22826 24038 26894 79891 85831 159782 171662 194021 388042 600817 1201634 1358147 1459127 2716294 2918254 8668931 9698903 10213889 17337862 19397806 20427778 60682517 67892321 121365034 135784642 147371827 164881351 294743654 329762702 979589203 1031602789 1154169457 1959178406 2063205578 2308338914 6857124421 13714248842 16653016451 33306032902 116571115157 233142230314