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4420130130440 = 235295699117351
BaseRepresentation
bin100000001010010010001…
…0010010100101000001000
3120122120010110122122120122
41000110210102110220020
51034404411303133230
613222325120442412
7634225642124063
oct100244422245010
916576113578518
104420130130440
111454626253a02
125b4798779408
13260a7ca7465b
14113d14bbd8da
1579e9ec76be5
hex40524494a08

4420130130440 has 128 divisors (see below), whose sum is σ = 10319031936000. Its totient is φ = 1701982464000.

The previous prime is 4420130130421. The next prime is 4420130130503. The reversal of 4420130130440 is 440310310244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601292765 + ... + 601300115.

It is an arithmetic number, because the mean of its divisors is an integer number (80617437000).

Almost surely, 24420130130440 is an apocalyptic number.

4420130130440 is a gapful number since it is divisible by the number (40) 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 4420130130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159515968000).

4420130130440 is an abundant number, since it is smaller than the sum of its proper divisors (5898901805560).

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

4420130130440 is a wasteful number, since it uses less digits than its factorization.

4420130130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4420130130440 its reverse (440310310244), we get a palindrome (4860440440684).

The spelling of 4420130130440 in words is "four trillion, four hundred twenty billion, one hundred thirty million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 569 580 911 1138 1160 1822 2276 2845 3644 4552 4555 5690 7288 7351 9110 11380 14702 16501 18220 22760 26419 29404 33002 36440 36755 52838 58808 66004 73510 82505 105676 132008 132095 147020 165010 211352 213179 264190 294040 330020 426358 518359 528380 660040 852716 1036718 1056760 1065895 1705432 2073436 2131790 2591795 4146872 4182719 4263580 5183590 6696761 8365438 8527160 10367180 13393522 15032411 16730876 20734360 20913595 26787044 30064822 33461752 33483805 41827190 53574088 60129644 66967610 75162055 83654380 120259288 121298851 133935220 150324110 167308760 194206069 242597702 267870440 300648220 388412138 485195404 601296440 606494255 776824276 970390808 971030345 1212988510 1553648552 1942060690 2425977020 3810457009 3884121380 4851954040 7620914018 7768242760 15241828036 19052285045 30483656072 38104570090 76209140180 110503253261 152418280360 221006506522 442013013044 552516266305 884026026088 1105032532610 2210065065220 4420130130440