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4430220402340 = 22519101480124043
BaseRepresentation
bin100000001110111110110…
…1101101001111010100100
3120200112011200021120110201
41000131331231221322210
51040041042410333330
613231114250200244
7635033664043315
oct100357555517244
916615150246421
104430220402340
111458933a15597
125b6733a23084
132619ca37a745
141145d0d2060c
157a390a16eca
hex4077db69ea4

4430220402340 has 96 divisors (see below), whose sum is σ = 9892551795840. Its totient is φ = 1661783040000.

The previous prime is 4430220402337. The next prime is 4430220402347. The reversal of 4430220402340 is 432040220344.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4430220402299 and 4430220402308.

It is not an unprimeable number, because it can be changed into a prime (4430220402347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184250359 + ... + 184274401.

It is an arithmetic number, because the mean of its divisors is an integer number (103047414540).

Almost surely, 24430220402340 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 4430220402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946275897920).

4430220402340 is an abundant number, since it is smaller than the sum of its proper divisors (5462331393500).

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

4430220402340 is a wasteful number, since it uses less digits than its factorization.

4430220402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28973 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4430220402340 its reverse (432040220344), we get a palindrome (4862260622684).

The spelling of 4430220402340 in words is "four trillion, four hundred thirty billion, two hundred twenty million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1919 2020 3838 4801 7676 9595 9602 19190 19204 24005 24043 38380 48010 48086 91219 96020 96172 120215 182438 240430 364876 456095 456817 480860 484901 912190 913634 969802 1824380 1827268 1939604 2284085 2424505 2428343 4568170 4849010 4856686 9136340 9213119 9698020 9713372 12141715 18426238 24283430 36852476 46065595 46138517 48566860 92131190 92277034 115430443 184262380 184554068 230692585 230860886 461385170 461721772 577152215 922770340 1154304430 2193178417 2308608860 4386356834 8772713668 10965892085 11658474743 21931784170 23316949486 43863568340 46633898972 58292373715 116584747430 221511020117 233169494860 443022040234 886044080468 1107555100585 2215110201170 4430220402340