Search a number
-
+
4443014004 = 223112131132083
BaseRepresentation
bin1000010001101001…
…10000001101110100
3102110122022111102020
410020310300031310
533044402422004
62012513113140
7215046665412
oct41064601564
912418274366
104443014004
11197aa69200
12a3bb587b0
1355a643690
143021142b2
151b00d38d9
hex108d30374

4443014004 has 144 divisors (see below), whose sum is σ = 12386262336. Its totient is φ = 1231211520.

The previous prime is 4443013999. The next prime is 4443014027. The reversal of 4443014004 is 4004103444.

It is a super-2 number, since 2×44430140042 = 39480746879480224032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131947 + ... + 2134029.

Almost surely, 24443014004 is an apocalyptic number.

4443014004 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 4443014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193131168).

4443014004 is an abundant number, since it is smaller than the sum of its proper divisors (7943248332).

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

4443014004 is a wasteful number, since it uses less digits than its factorization.

4443014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2225 counting only the distinct ones).

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

The square root of 4443014004 is about 66655.9374999707. The cubic root of 4443014004 is about 1643.9649754853.

Adding to 4443014004 its reverse (4004103444), we get a palindrome (8447117448).

The spelling of 4443014004 in words is "four billion, four hundred forty-three million, fourteen thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 113 121 132 143 156 226 242 286 339 363 429 452 484 572 678 726 858 1243 1356 1452 1469 1573 1716 2083 2486 2938 3146 3729 4166 4407 4719 4972 5876 6249 6292 7458 8332 8814 9438 12498 13673 14916 16159 17628 18876 22913 24996 27079 27346 32318 41019 45826 48477 54158 54692 64636 68739 81237 82038 91652 96954 108316 137478 162474 164076 177749 193908 235379 252043 274956 297869 324948 355498 470758 504086 533247 595738 706137 710996 756129 893607 941516 1008172 1066494 1191476 1412274 1512258 1787214 2132988 2589169 2824548 3024516 3059927 3276559 3574428 5178338 6119854 6553118 7767507 9179781 9829677 10356676 12239708 13106236 15535014 18359562 19659354 28480859 31070028 33659197 36719124 39318708 56961718 67318394 85442577 100977591 113923436 134636788 170885154 201955182 341770308 370251167 403910364 740502334 1110753501 1481004668 2221507002 4443014004