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4406141344 = 2511191514363
BaseRepresentation
bin1000001101010000…
…00110000110100000
3102101001221011122011
410012220012012200
533010433010334
62005114522304
7214121404063
oct40650060640
912331834564
104406141344
111961174230
12a2b736394
13552b03437
142db2768da
151abc4d564
hex106a061a0

4406141344 has 96 divisors (see below), whose sum is σ = 10029519360. Its totient is φ = 1884384000.

The previous prime is 4406141323. The next prime is 4406141347. The reversal of 4406141344 is 4431416044.

It is a super-2 number, since 2×44061413442 = 38828163086612252672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4406141347) 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, 1007707 + ... + 1012069.

It is an arithmetic number, because the mean of its divisors is an integer number (104474160).

Almost surely, 24406141344 is an apocalyptic number.

4406141344 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 4406141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014759680).

4406141344 is an abundant number, since it is smaller than the sum of its proper divisors (5623378016).

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

4406141344 is a wasteful number, since it uses less digits than its factorization.

4406141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 4406141344 is about 66378.7717873719. The cubic root of 4406141344 is about 1639.4045706789.

Adding to 4406141344 its reverse (4431416044), we get a palindrome (8837557388).

The spelling of 4406141344 in words is "four billion, four hundred six million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 151 152 176 209 302 304 352 418 604 608 836 1208 1661 1672 2416 2869 3322 3344 4363 4832 5738 6644 6688 8726 11476 13288 17452 22952 26576 31559 34904 45904 47993 53152 63118 69808 82897 91808 95986 126236 139616 165794 191972 252472 331588 383944 504944 658813 663176 767888 911867 1009888 1317626 1326352 1535776 1823734 2635252 2652704 3647468 5270504 7246943 7294936 10541008 12517447 14493886 14589872 21082016 25034894 28987772 29179744 50069788 57975544 100139576 115951088 137691917 200279152 231902176 275383834 400558304 550767668 1101535336 2203070672 4406141344