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4420422301000 = 235337615119423
BaseRepresentation
bin100000001010011010110…
…1100110111010101001000
3120122120212211102110020111
41000110311230313111020
51034411011102113000
613222414115004104
7634236120414226
oct100246554672510
916576784373214
104420422301000
11145476616aa82
125b485a599634
13260ac8460844
14113d41915b16
1579eba73acba
hex40535b37548

4420422301000 has 128 divisors (see below), whose sum is σ = 10625624156160. Its totient is φ = 1720012320000.

The previous prime is 4420422300989. The next prime is 4420422301019. The reversal of 4420422301000 is 1032240244.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227577289 + ... + 227596711.

It is an arithmetic number, because the mean of its divisors is an integer number (83012688720).

Almost surely, 24420422301000 is an apocalyptic number.

4420422301000 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 4420422301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312812078080).

4420422301000 is an abundant number, since it is smaller than the sum of its proper divisors (6205201855160).

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

4420422301000 is a wasteful number, since it uses less digits than its factorization.

4420422301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25632 (or 25618 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4420422301000 its reverse (1032240244), we get a palindrome (4421454541244).

The spelling of 4420422301000 in words is "four trillion, four hundred twenty billion, four hundred twenty-two million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 6151 7400 9250 12302 18500 19423 24604 30755 37000 38846 49208 61510 77692 97115 123020 153775 155384 194230 227587 246040 307550 388460 455174 485575 615100 718651 768875 776920 910348 971150 1137935 1230200 1437302 1537750 1820696 1942300 2275870 2427875 2874604 3075500 3593255 3884600 4551740 4855750 5689675 5749208 6151000 7186510 9103480 9711500 11379350 14373020 17966275 19423000 22758700 28448375 28746040 35932550 45517400 56896750 71865100 89831375 113793500 119470873 143730200 179662750 227587000 238941746 359325500 477883492 597354365 718651000 955766984 1194708730 2389417460 2986771825 4420422301 4778834920 5973543650 8840844602 11947087300 14933859125 17681689204 22102111505 23894174600 29867718250 35363378408 44204223010 59735436500 88408446020 110510557525 119470873000 176816892040 221021115050 442042230100 552552787625 884084460200 1105105575250 2210211150500 4420422301000