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201233213402440 = 23539712979770329
BaseRepresentation
bin101101110000010101000010…
…001100111010110101001000
3222101111201002122012211101011
4231300111002030322311020
5202334001110112334230
61551553132332333304
760246422423266612
oct5560250214726510
9871451078184334
10201233213402440
115913458791026a
121a6a0418014234
1388392978c092b
143799a4d26ddb2
15183e80ea4ce2a
hexb7054233ad48

201233213402440 has 64 divisors (see below), whose sum is σ = 454265240338800. Its totient is φ = 80228618477568.

The previous prime is 201233213402381. The next prime is 201233213402443. The reversal of 201233213402440 is 44204312332102.

It can be written as a sum of positive squares in 8 ways, for example, as 190813500552676 + 10419712849764 = 13813526^2 + 3227958^2 .

It is not an unprimeable number, because it can be changed into a prime (201233213402443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15711196 + ... + 25481524.

Almost surely, 2201233213402440 is an apocalyptic number.

201233213402440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201233213402440 is an abundant number, since it is smaller than the sum of its proper divisors (253032026936360).

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

201233213402440 is a wasteful number, since it uses less digits than its factorization.

201233213402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772034 (or 9772030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 201233213402440 its reverse (44204312332102), we get a palindrome (245437525734542).

The spelling of 201233213402440 in words is "two hundred one trillion, two hundred thirty-three billion, two hundred thirteen million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 397 794 1297 1588 1985 2594 3176 3970 5188 6485 7940 10376 12970 15880 25940 51880 514909 1029818 2059636 2574545 4119272 5149090 9770329 10298180 19540658 20596360 39081316 48851645 78162632 97703290 195406580 390813160 3878820613 7757641226 12672116713 15515282452 19394103065 25344233426 31030564904 38788206130 50688466852 63360583565 77576412260 101376933704 126721167130 155152824520 253442334260 506884668520 5030830335061 10061660670122 20123321340244 25154151675305 40246642680488 50308303350610 100616606701220 201233213402440