Search a number
-
+
4412451030 = 23513311512417
BaseRepresentation
bin1000001110000000…
…01010100011010110
3102101111210201220020
410013000022203112
533014041413110
62005502050010
7214226133501
oct40700124326
912344721806
104412451030
111964793849
12a31879906
13554202390
142dc03a138
151ac597d70
hex10700a8d6

4412451030 has 128 divisors (see below), whose sum is σ = 11855241216. Its totient is φ = 1043712000.

The previous prime is 4412451011. The next prime is 4412451041. The reversal of 4412451030 is 301542144.

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, 1824382 + ... + 1826798.

It is an arithmetic number, because the mean of its divisors is an integer number (92619072).

Almost surely, 24412451030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412451030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927620608).

4412451030 is an abundant number, since it is smaller than the sum of its proper divisors (7442790186).

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

4412451030 is a wasteful number, since it uses less digits than its factorization.

4412451030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4412451030 is about 66426.2826748569. The cubic root of 4412451030 is about 1640.1867512398.

Adding to 4412451030 its reverse (301542144), we get a palindrome (4713993174).

The spelling of 4412451030 in words is "four billion, four hundred twelve million, four hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 151 155 186 195 302 310 390 403 453 465 755 806 906 930 1209 1510 1963 2015 2265 2417 2418 3926 4030 4530 4681 4834 5889 6045 7251 9362 9815 11778 12085 12090 14043 14502 19630 23405 24170 28086 29445 31421 36255 46810 58890 60853 62842 70215 72510 74927 94263 121706 140430 149854 157105 182559 188526 224781 304265 314210 364967 365118 374635 449562 471315 608530 729934 749270 912795 942630 974051 1094901 1123905 1824835 1825590 1948102 2189802 2247810 2922153 3649670 4744571 4870255 5474505 5844306 9489142 9740510 10949010 11313977 14233713 14610765 22627954 23722855 28467426 29221530 33941931 47445710 56569885 67883862 71168565 113139770 142337130 147081701 169709655 294163402 339419310 441245103 735408505 882490206 1470817010 2206225515 4412451030