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231140440410 = 23511372511633
BaseRepresentation
bin1101011101000100001…
…0110011100101011010
3211002121120111222000020
43113101002303211122
512241333423043120
6254103501451310
722461606220005
oct3272102634532
9732546458006
10231140440410
118a031830a70
1238968570b36
1318a47a54089
14b289b9453c
15602c271640
hex35d10b395a

231140440410 has 96 divisors (see below), whose sum is σ = 621966848832. Its totient is φ = 54519505920.

The previous prime is 231140440357. The next prime is 231140440429. The reversal of 231140440410 is 14044041132.

231140440410 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195954 + ... + 707586.

It is an arithmetic number, because the mean of its divisors is an integer number (6478821342).

Almost surely, 2231140440410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231140440410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310983424416).

231140440410 is an abundant number, since it is smaller than the sum of its proper divisors (390826408422).

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

231140440410 is a wasteful number, since it uses less digits than its factorization.

231140440410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511728 (or 511691 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 231140440410 its reverse (14044041132), we get a palindrome (245184481542).

The spelling of 231140440410 in words is "two hundred thirty-one billion, one hundred forty million, four hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 1369 2035 2442 2738 4070 4107 6105 6845 8214 12210 13690 15059 20535 30118 41070 45177 75295 90354 150590 225885 451770 511633 1023266 1534899 2558165 3069798 5116330 5627963 7674495 11255926 15348990 16883889 18930421 28139815 33767778 37860842 56279630 56791263 84419445 94652105 113582526 168838890 189304210 208234631 283956315 416469262 567912630 624703893 700425577 1041173155 1249407786 1400851154 2082346310 2101276731 3123519465 3502127885 4202553462 6247038930 7004255770 7704681347 10506383655 15409362694 21012767310 23114044041 38523406735 46228088082 77046813470 115570220205 231140440410