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12442343004 = 22327136756687
BaseRepresentation
bin10111001011001111…
…10001011001011100
31012010010110111212200
423211213301121130
5200440214434004
65414350331500
7620222112330
oct134547613134
935103414780
1012442343004
115305418503
1224b2ab9b90
1312339b0250
148606857c0
154cc4ea239
hex2e59f165c

12442343004 has 144 divisors (see below), whose sum is σ = 39287958528. Its totient is φ = 3232462464.

The previous prime is 12442342999. The next prime is 12442343009. The reversal of 12442343004 is 40034324421.

It is a happy number.

12442343004 is a `hidden beast` number, since 124 + 4 + 234 + 300 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12442342999) and next prime (12442343009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442343009) by changing a digit.

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, 191149 + ... + 247835.

Almost surely, 212442343004 is an apocalyptic number.

12442343004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442343004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19643979264).

12442343004 is an abundant number, since it is smaller than the sum of its proper divisors (26845615524).

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

12442343004 is a wasteful number, since it uses less digits than its factorization.

12442343004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56784 (or 56779 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12442343004 its reverse (40034324421), we get a palindrome (52476667425).

The spelling of 12442343004 in words is "twelve billion, four hundred forty-two million, three hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 67 78 84 91 117 126 134 156 182 201 234 252 268 273 364 402 468 469 546 603 804 819 871 938 1092 1206 1407 1638 1742 1876 2412 2613 2814 3276 3484 4221 5226 5628 6097 7839 8442 10452 12194 15678 16884 18291 24388 31356 36582 54873 56687 73164 109746 113374 170061 219492 226748 340122 396809 510183 680244 736931 793618 1020366 1190427 1473862 1587236 2040732 2210793 2380854 2947724 3571281 3798029 4421586 4761708 5158517 6632379 7142562 7596058 8843172 10317034 11394087 13264758 14285124 15192116 15475551 20634068 22788174 26529516 26586203 30951102 34182261 45576348 46426653 49374377 53172406 61902204 68364522 79758609 92853306 98748754 106344812 136729044 148123131 159517218 185706612 197497508 239275827 296246262 319034436 345620639 444369393 478551654 592492524 691241278 888738786 957103308 1036861917 1382482556 1777477572 2073723834 3110585751 4147447668 6221171502 12442343004