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23444143424 = 2613223126359
BaseRepresentation
bin10101110101011000…
…010011110101000000
32020111212021212211022
4111311120103311000
5341003200042144
614434201205012
71456652634242
oct256530236500
966455255738
1023444143424
119a40675a49
124663490768
1322980b8220
1411c58a4092
159232e2cee
hex575613d40

23444143424 has 56 divisors (see below), whose sum is σ = 50325649920. Its totient is φ = 10771766784.

The previous prime is 23444143381. The next prime is 23444143427. The reversal of 23444143424 is 42434144432.

It is a super-4 number, since 4×234441434244 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23444143427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122357 + ... + 248715.

It is an arithmetic number, because the mean of its divisors is an integer number (898672320).

Almost surely, 223444143424 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 23444143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162824960).

23444143424 is an abundant number, since it is smaller than the sum of its proper divisors (26881506496).

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

23444143424 is a wasteful number, since it uses less digits than its factorization.

23444143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126607 (or 126597 counting only the distinct ones).

The product of its digits is 147456, while the sum is 35.

Adding to 23444143424 its reverse (42434144432), we get a palindrome (65878287856).

The spelling of 23444143424 in words is "twenty-three billion, four hundred forty-four million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 223 416 446 832 892 1784 2899 3568 5798 7136 11596 14272 23192 46384 92768 126359 185536 252718 505436 1010872 1642667 2021744 3285334 4043488 6570668 8086976 13141336 26282672 28178057 52565344 56356114 105130688 112712228 225424456 366314741 450848912 732629482 901697824 1465258964 1803395648 2930517928 5861035856 11722071712 23444143424