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12424402224 = 24321316973911
BaseRepresentation
bin10111001001000110…
…10101010100110000
31012001212201000202100
423210203111110300
5200421121332344
65412510020400
7616613451003
oct134443252460
935055630670
1012424402224
1152a6284313
1224a8aa7700
13123006b1c0
1485c13553a
154cab54569
hex2e48d5530

12424402224 has 120 divisors (see below), whose sum is σ = 37477413792. Its totient is φ = 3819663360.

The previous prime is 12424402189. The next prime is 12424402273. The reversal of 12424402224 is 42220442421.

12424402224 is a `hidden beast` number, since 12 + 4 + 24 + 402 + 224 = 666.

It is a super-2 number, since 2×124244022242 (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 23 ways as a sum of consecutive naturals, for example, 3174829 + ... + 3178739.

Almost surely, 212424402224 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 12424402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738706896).

12424402224 is an abundant number, since it is smaller than the sum of its proper divisors (25053011568).

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

12424402224 is a wasteful number, since it uses less digits than its factorization.

12424402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 12424402224 its reverse (42220442421), we get a palindrome (54644844645).

The spelling of 12424402224 in words is "twelve billion, four hundred twenty-four million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1697 1872 3394 3911 5091 6788 7822 10182 11733 13576 15273 15644 20364 22061 23466 27152 30546 31288 35199 40728 44122 46932 50843 61092 62576 66183 70398 81456 88244 93864 101686 122184 132366 140796 152529 176488 187728 198549 203372 244368 264732 281592 305058 352976 397098 406744 457587 529464 563184 610116 794196 813488 915174 1058928 1220232 1588392 1830348 2440464 3176784 3660696 6636967 7321392 13273934 19910901 26547868 39821802 53095736 59732703 79643604 86280571 106191472 119465406 159287208 172561142 238930812 258841713 318574416 345122284 477861624 517683426 690244568 776525139 955723248 1035366852 1380489136 1553050278 2070733704 3106100556 4141467408 6212201112 12424402224