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12424411240 = 2351754133773
BaseRepresentation
bin10111001001000110…
…10111100001101000
31012001212201111010021
423210203113201220
5200421122124430
65412510130224
7616613516203
oct134443274150
935055644107
1012424411240
1152a629006a
1224a8ab0974
131230072337
1485c13893a
154cab5707a
hex2e48d7868

12424411240 has 64 divisors (see below), whose sum is σ = 29654922960. Its totient is φ = 4668641280.

The previous prime is 12424411211. The next prime is 12424411247. The reversal of 12424411240 is 4211442421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7123697604 + 5300713636 = 84402^2 + 72806^2 .

It is not an unprimeable number, because it can be changed into a prime (12424411247) 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, 350994 + ... + 384766.

Almost surely, 212424411240 is an apocalyptic number.

12424411240 is a gapful number since it is divisible by the number (10) 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 12424411240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827461480).

12424411240 is an abundant number, since it is smaller than the sum of its proper divisors (17230511720).

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

12424411240 is a wasteful number, since it uses less digits than its factorization.

12424411240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34342 (or 34338 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 12424411240 its reverse (4211442421), we get a palindrome (16635853661).

The spelling of 12424411240 in words is "twelve billion, four hundred twenty-four million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 541 680 1082 2164 2705 4328 5410 9197 10820 18394 21640 33773 36788 45985 67546 73576 91970 135092 168865 183940 270184 337730 367880 574141 675460 1148282 1350920 2296564 2870705 4593128 5741410 11482820 18271193 22965640 36542386 73084772 91355965 146169544 182711930 310610281 365423860 621220562 730847720 1242441124 1553051405 2484882248 3106102810 6212205620 12424411240