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4434401140 = 2251327916607
BaseRepresentation
bin1000010000100111…
…11001011101110100
3102110001002220210021
410020103321131310
533040201314030
62012004334524
7214613534131
oct41023713564
912401086707
104434401140
111976116234
12a390a4444
13558919300
14300d11588
151ae48197a
hex1084f9774

4434401140 has 72 divisors (see below), whose sum is σ = 10211927040. Its totient is φ = 1616494464.

The previous prime is 4434401137. The next prime is 4434401143. The reversal of 4434401140 is 411044344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4434401137) and next prime (4434401143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434401143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258717 + ... + 275323.

It is an arithmetic number, because the mean of its divisors is an integer number (141832320).

Almost surely, 24434401140 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 4434401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105963520).

4434401140 is an abundant number, since it is smaller than the sum of its proper divisors (5777525900).

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

4434401140 is a wasteful number, since it uses less digits than its factorization.

4434401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16721 (or 16706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4434401140 is about 66591.2992815127. The cubic root of 4434401140 is about 1642.9020029230.

Adding to 4434401140 its reverse (411044344), we get a palindrome (4845445484).

The spelling of 4434401140 in words is "four billion, four hundred thirty-four million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 169 260 316 338 395 676 790 845 1027 1580 1690 2054 3380 4108 5135 10270 13351 16607 20540 26702 33214 53404 66428 66755 83035 133510 166070 215891 267020 332140 431782 863564 1079455 1311953 2158910 2623906 2806583 4317820 5247812 5613166 6559765 11226332 13119530 14032915 17055389 26239060 28065830 34110778 56131660 68221556 85276945 170553890 221720057 341107780 443440114 886880228 1108600285 2217200570 4434401140