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4202113344 = 2631113261193
BaseRepresentation
bin1111101001110111…
…0010100101000000
3101211212000110211120
43322131302211000
532101220111334
61532545512240
7206063242212
oct37235624500
911755013746
104202113344
111866a8aa50
12993342680
1351c768900
142bc1265b2
15198d9a949
hexfa772940

4202113344 has 336 divisors, whose sum is σ = 13418051904. Its totient is φ = 1150156800.

The previous prime is 4202113343. The next prime is 4202113367. The reversal of 4202113344 is 4433112024.

4202113344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202113343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21772512 + ... + 21772704.

Almost surely, 24202113344 is an apocalyptic number.

4202113344 is a gapful number since it is divisible by the number (44) 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 4202113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709025952).

4202113344 is an abundant number, since it is smaller than the sum of its proper divisors (9215938560).

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

4202113344 is a wasteful number, since it uses less digits than its factorization.

4202113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4202113344 is about 64823.7097364845. The cubic root of 4202113344 is about 1613.6992141205.

Adding to 4202113344 its reverse (4433112024), we get a palindrome (8635225368).

The spelling of 4202113344 in words is "four billion, two hundred two million, one hundred thirteen thousand, three hundred forty-four".