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4241214444 = 22323731811163
BaseRepresentation
bin1111110011001011…
…1100101111101100
3101221120121000110110
43330302330233230
532141222330234
61540503540020
7210046504455
oct37462745754
911846530413
104241214444
111887067205
129a445a610
135278a925c
142c33c412c
1519c5211e9
hexfccbcbec

4241214444 has 96 divisors (see below), whose sum is σ = 10534777344. Its totient is φ = 1325237760.

The previous prime is 4241214443. The next prime is 4241214479. The reversal of 4241214444 is 4444121424.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4241214443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3646207 + ... + 3647369.

It is an arithmetic number, because the mean of its divisors is an integer number (109737264).

Almost surely, 24241214444 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 4241214444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267388672).

4241214444 is an abundant number, since it is smaller than the sum of its proper divisors (6293562900).

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

4241214444 is a wasteful number, since it uses less digits than its factorization.

4241214444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4241214444 is about 65124.6070544767. The cubic root of 4241214444 is about 1618.6889819946.

Adding to 4241214444 its reverse (4444121424), we get a palindrome (8685335868).

The spelling of 4241214444 in words is "four billion, two hundred forty-one million, two hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 181 219 276 292 362 438 543 724 876 1086 1163 1679 2172 2326 3358 3489 4163 4652 5037 6716 6978 8326 10074 12489 13213 13956 16652 20148 24978 26426 26749 39639 49956 52852 53498 79278 80247 84899 106996 158556 160494 169798 210503 254697 303899 320988 339596 421006 509394 607798 631509 842012 911697 1018788 1215596 1263018 1823394 1952677 2526036 3646788 3905354 4841569 5858031 7810708 9683138 11716062 14524707 15366719 19366276 23432124 29049414 30733438 46100157 58098828 61466876 92200314 184400628 353434537 706869074 1060303611 1413738148 2120607222 4241214444