Search a number
-
+
13334434440 = 2335373003251
BaseRepresentation
bin11000110101100101…
…10101001010001000
31021102022002110021020
430122302311022020
5204302103400230
610043055112440
7651303552105
oct143262651210
937368073236
1013334434440
115722a38a58
122701812720
131346767cc2
14906d43aac
155309b3810
hex31acb5288

13334434440 has 64 divisors (see below), whose sum is σ = 41084487360. Its totient is φ = 3459744000.

The previous prime is 13334434439. The next prime is 13334434489. The reversal of 13334434440 is 4443443331.

It is a super-2 number, since 2×133344344402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497186 + ... + 1506065.

It is an arithmetic number, because the mean of its divisors is an integer number (641945115).

Almost surely, 213334434440 is an apocalyptic number.

13334434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334434440 is an abundant number, since it is smaller than the sum of its proper divisors (27750052920).

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

13334434440 is a wasteful number, since it uses less digits than its factorization.

13334434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003302 (or 3003298 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 13334434440 its reverse (4443443331), we get a palindrome (17777877771).

It can be divided in two parts, 13 and 334434440, that added together give a triangular number (334434453 = T25862).

The spelling of 13334434440 in words is "thirteen billion, three hundred thirty-four million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 3003251 6006502 9009753 12013004 15016255 18019506 24026008 30032510 36039012 45048765 60065020 72078024 90097530 111120287 120130040 180195060 222240574 333360861 360390120 444481148 555601435 666721722 888962296 1111202870 1333443444 1666804305 2222405740 2666886888 3333608610 4444811480 6667217220 13334434440