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4404241424 = 2411313721817
BaseRepresentation
bin1000001101000001…
…10110010000010000
3102100221100122102202
410012200312100100
533004441211144
62005010102332
7214066302002
oct40640662020
912327318382
104404241424
111960096850
12a2ab7a9a8
135525b971b
142dad00372
151ab9c564e
hex106836410

4404241424 has 80 divisors (see below), whose sum is σ = 9869415936. Its totient is φ = 1884902400.

The previous prime is 4404241423. The next prime is 4404241427. The reversal of 4404241424 is 4241424044.

It is not an unprimeable number, because it can be changed into a prime (4404241421) 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, 190964 + ... + 212780.

Almost surely, 24404241424 is an apocalyptic number.

4404241424 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 4404241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934707968).

4404241424 is an abundant number, since it is smaller than the sum of its proper divisors (5465174512).

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

4404241424 is a wasteful number, since it uses less digits than its factorization.

4404241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21904 (or 21898 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

The square root of 4404241424 is about 66364.4590424724. The cubic root of 4404241424 is about 1639.1689007290.

Adding to 4404241424 its reverse (4241424044), we get a palindrome (8645665468).

The spelling of 4404241424 in words is "four billion, four hundred four million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 37 44 62 74 88 124 148 176 248 296 341 407 496 592 682 814 1147 1364 1628 2294 2728 3256 4588 5456 6512 9176 12617 18352 21817 25234 43634 50468 87268 100936 174536 201872 239987 349072 479974 676327 807229 959948 1352654 1614458 1919896 2705308 3228916 3839792 5410616 6457832 7439597 8879519 10821232 12915664 14879194 17759038 25024099 29758388 35518076 50048198 59516776 71036152 100096396 119033552 142072304 200192792 275265089 400385584 550530178 1101060356 2202120712 4404241424