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4241200344 = 2335312292713
BaseRepresentation
bin1111110011001011…
…1001010011011000
3101221120120022010020
43330302321103120
532141221402334
61540503350440
7210046415403
oct37462712330
911846508106
104241200344
111887057657
129a4452420
135278a2a04
142c33bcd3a
1519c51be49
hexfccb94d8

4241200344 has 64 divisors (see below), whose sum is σ = 10815832800. Its totient is φ = 1385419776.

The previous prime is 4241200343. The next prime is 4241200367. The reversal of 4241200344 is 4430021424.

It is a happy number.

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 (4241200343) 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, 1561932 + ... + 1564644.

Almost surely, 24241200344 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 4241200344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407916400).

4241200344 is an abundant number, since it is smaller than the sum of its proper divisors (6574632456).

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

4241200344 is a wasteful number, since it uses less digits than its factorization.

4241200344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4241200344 is about 65124.4988003747. The cubic root of 4241200344 is about 1618.6871882049.

Adding to 4241200344 its reverse (4430021424), we get a palindrome (8671221768).

The spelling of 4241200344 in words is "four billion, two hundred forty-one million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1229 1272 2458 2713 3687 4916 5426 7374 8139 9832 10852 14748 16278 21704 29496 32556 65112 65137 130274 143789 195411 260548 287578 390822 431367 521096 575156 781644 862734 1150312 1563288 1725468 3334277 3450936 6668554 10002831 13337108 20005662 26674216 40011324 80022648 176716681 353433362 530150043 706866724 1060300086 1413733448 2120600172 4241200344