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4444442310 = 2357116131541
BaseRepresentation
bin1000010001110100…
…01100111011000110
3102110202000001200110
410020322030323012
533100234123220
62013003453450
7215065064520
oct41072147306
912422001613
104444442310
111980854320
12a40527286
1355aa23829
143023a6a10
151b02b6be0
hex108e8cec6

4444442310 has 128 divisors (see below), whose sum is σ = 13517134848. Its totient is φ = 908352000.

The previous prime is 4444442293. The next prime is 4444442347. The reversal of 4444442310 is 132444444.

It is a super-2 number, since 2×44444423102 = 39506134893836272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125140 + ... + 156680.

It is an arithmetic number, because the mean of its divisors is an integer number (105602616).

Almost surely, 24444442310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444442310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758567424).

4444442310 is an abundant number, since it is smaller than the sum of its proper divisors (9072692538).

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

4444442310 is a wasteful number, since it uses less digits than its factorization.

4444442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31630.

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4444442310 is about 66666.6506583314. The cubic root of 4444442310 is about 1644.1411196873.

Adding to 4444442310 its reverse (132444444), we get a palindrome (4576886754).

The spelling of 4444442310 in words is "four billion, four hundred forty-four million, four hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 61 66 70 77 105 110 122 154 165 183 210 231 305 330 366 385 427 462 610 671 770 854 915 1155 1281 1342 1830 2013 2135 2310 2562 3355 4026 4270 4697 6405 6710 9394 10065 12810 14091 20130 23485 28182 31541 46970 63082 70455 94623 140910 157705 189246 220787 315410 346951 441574 473115 662361 693902 946230 1040853 1103935 1324722 1734755 1924001 2081706 2207870 2428657 3311805 3469510 3848002 4857314 5204265 5772003 6623610 7285971 9620005 10408530 11544006 12143285 13468007 14571942 19240010 21164011 24286570 26936014 28860015 36429855 40404021 42328022 57720030 63492033 67340035 72859710 80808042 105820055 126984066 134680070 148148077 202020105 211640110 296296154 317460165 404040210 444444231 634920330 740740385 888888462 1481480770 2222221155 4444442310