Search a number
-
+
12240277544 = 23112937129631
BaseRepresentation
bin10110110011001001…
…11101000000101000
31011121001020112011202
423121210331000220
5200032002340134
65342331343332
7612216433235
oct133144750050
934531215152
1012240277544
115211354760
1224572b1b48
131200b81aa1
148418c678c
154b98d3d7e
hex2d993d028

12240277544 has 64 divisors (see below), whose sum is σ = 26600486400. Its totient is φ = 5226681600.

The previous prime is 12240277541. The next prime is 12240277639. The reversal of 12240277544 is 44577204221.

It is a junction number, because it is equal to n+sod(n) for n = 12240277498 and 12240277507.

It is not an unprimeable number, because it can be changed into a prime (12240277541) 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, 29609 + ... + 159239.

It is an arithmetic number, because the mean of its divisors is an integer number (415632600).

Almost surely, 212240277544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240277544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300243200).

12240277544 is an abundant number, since it is smaller than the sum of its proper divisors (14360208856).

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

12240277544 is a wasteful number, since it uses less digits than its factorization.

12240277544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129714 (or 129710 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

The spelling of 12240277544 in words is "twelve billion, two hundred forty million, two hundred seventy-seven thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 29 37 44 58 74 88 116 148 232 296 319 407 638 814 1073 1276 1628 2146 2552 3256 4292 8584 11803 23606 47212 94424 129631 259262 518524 1037048 1425941 2851882 3759299 4796347 5703764 7518598 9592694 11407528 15037196 19185388 30074392 38370776 41352289 52759817 82704578 105519634 139094063 165409156 211039268 278188126 330818312 422078536 556376252 1112752504 1530034693 3060069386 6120138772 12240277544