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233114412041340 = 2235171297176209361
BaseRepresentation
bin110101000000010000101101…
…101110001100010001111100
31010120101112001012000222210020
4311000100231232030101330
5221023321303440310330
62143443141003212140
7100046650305410634
oct6500205556142174
91116345035028706
10233114412041340
11683062a3354145
122218b174b17050
13a00c79681596b
14417cb2501b6c4
151be3c92bbb210
hexd4042db8c47c

233114412041340 has 96 divisors (see below), whose sum is σ = 691648529673024. Its totient is φ = 58462036623360.

The previous prime is 233114412041321. The next prime is 233114412041341. The reversal of 233114412041340 is 43140214411332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233114412041341) 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, 86781741 + ... + 89427620.

It is an arithmetic number, because the mean of its divisors is an integer number (7204672184094).

Almost surely, 2233114412041340 is an apocalyptic number.

233114412041340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233114412041340 is an abundant number, since it is smaller than the sum of its proper divisors (458534117631684).

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

233114412041340 is a wasteful number, since it uses less digits than its factorization.

233114412041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176210687 (or 176210685 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 233114412041340 its reverse (43140214411332), we get a palindrome (276254626452672).

The spelling of 233114412041340 in words is "two hundred thirty-three trillion, one hundred fourteen billion, four hundred twelve million, forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1297 2594 3891 5188 6485 7782 12970 15564 19455 22049 25940 38910 44098 66147 77820 88196 110245 132294 220490 264588 330735 440980 661470 1322940 176209361 352418722 528628083 704837444 881046805 1057256166 1762093610 2114512332 2643140415 2995559137 3524187220 5286280830 5991118274 8986677411 10572561660 11982236548 14977795685 17973354822 29955591370 35946709644 44933387055 59911182740 89866774110 179733548220 228543541217 457087082434 685630623651 914174164868 1142717706085 1371261247302 2285435412170 2742522494604 3428153118255 3885240200689 4570870824340 6856306236510 7770480401378 11655720602067 13712612473020 15540960802756 19426201003445 23311441204134 38852402006890 46622882408268 58278603010335 77704804013780 116557206020670 233114412041340