Search a number
-
+
12240242616 = 2337313763521
BaseRepresentation
bin10110110011001001…
…10100011110111000
31011121001011202021010
423121210310132320
5200032000230431
65342330513520
7612216226350
oct133144643670
934531152233
1012240242616
115211330498
1224572958a0
131200b6bc14
148418b7b60
154b98c8846
hex2d99347b8

12240242616 has 128 divisors (see below), whose sum is σ = 37076520960. Its totient is φ = 3292876800.

The previous prime is 12240242591. The next prime is 12240242617. The reversal of 12240242616 is 61624204221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240242617) 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, 160936 + ... + 224456.

It is an arithmetic number, because the mean of its divisors is an integer number (289660320).

Almost surely, 212240242616 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 12240242616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18538260480).

12240242616 is an abundant number, since it is smaller than the sum of its proper divisors (24836278344).

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

12240242616 is a wasteful number, since it uses less digits than its factorization.

12240242616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63605 (or 63601 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12240242616 its reverse (61624204221), we get a palindrome (73864446837).

The spelling of 12240242616 in words is "twelve billion, two hundred forty million, two hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 74 84 93 111 124 148 168 186 217 222 248 259 296 372 434 444 518 651 744 777 868 888 1036 1147 1302 1554 1736 2072 2294 2604 3108 3441 4588 5208 6216 6882 8029 9176 13764 16058 24087 27528 32116 48174 63521 64232 96348 127042 190563 192696 254084 381126 444647 508168 762252 889294 1333941 1524504 1778588 1969151 2350277 2667882 3557176 3938302 4700554 5335764 5907453 7050831 7876604 9401108 10671528 11814906 13784057 14101662 15753208 16451939 18802216 23629812 27568114 28203324 32903878 41352171 47259624 49355817 55136228 56406648 65807756 72858587 82704342 98711634 110272456 131615512 145717174 165408684 197423268 218575761 291434348 330817368 394846536 437151522 510010109 582868696 874303044 1020020218 1530030327 1748606088 2040040436 3060060654 4080080872 6120121308 12240242616