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233014441240 = 23572196257101
BaseRepresentation
bin1101100100000010111…
…1100011010100011000
3211021110011210001212101
43121000233203110120
512304203144104430
6255013444053144
722556213033200
oct3310057432430
9737404701771
10233014441240
118a903639589
12391b00941b4
1318c860839c9
14b3c6a11400
1560dba45dca
hex3640be3518

233014441240 has 96 divisors (see below), whose sum is σ = 641978665200. Its totient is φ = 75685881600.

The previous prime is 233014441217. The next prime is 233014441307. The reversal of 233014441240 is 42144410332.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 233014441199 and 233014441208.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 3091311 + ... + 3165790.

Almost surely, 2233014441240 is an apocalyptic number.

233014441240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233014441240 is an abundant number, since it is smaller than the sum of its proper divisors (408964223960).

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

233014441240 is a wasteful number, since it uses less digits than its factorization.

233014441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257145 (or 6257134 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 233014441240 its reverse (42144410332), we get a palindrome (275158851572).

The spelling of 233014441240 in words is "two hundred thirty-three billion, fourteen million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4655 5320 7448 9310 18620 37240 6257101 12514202 25028404 31285505 43799707 50056808 62571010 87599414 118884919 125142020 175198828 218998535 237769838 250284040 306597949 350397656 437997070 475539676 594424595 613195898 832194433 875994140 951079352 1188849190 1226391796 1532989745 1664388866 1751988280 2377698380 2452783592 3065979490 3328777732 4160972165 4755396760 5825361031 6131958980 6657555464 8321944330 11650722062 12263917960 16643888660 23301444124 29126805155 33287777320 46602888248 58253610310 116507220620 233014441240