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1427221000320 = 2735977663343
BaseRepresentation
bin10100110001001101000…
…000000011000010000000
312001102220111002212221220
4110301031000003002000
5141340422034002240
63011353431115040
7205053603224013
oct24611500030200
95042814085856
101427221000320
11500310057775
121b0731512a80
13a478131555b
144d11393937a
15271d2ceb5d0
hex14c4d003080

1427221000320 has 128 divisors (see below), whose sum is σ = 4596167197440. Its totient is φ = 376668585984.

The previous prime is 1427221000301. The next prime is 1427221000321. The reversal of 1427221000320 is 230001227241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1427221000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645432 + ... + 4017911.

It is an arithmetic number, because the mean of its divisors is an integer number (35907556230).

Almost surely, 21427221000320 is an apocalyptic number.

1427221000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427221000320 is an abundant number, since it is smaller than the sum of its proper divisors (3168946197120).

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

1427221000320 is an equidigital number, since it uses as much as digits as its factorization.

1427221000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663462 (or 7663450 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 1427221000320 its reverse (230001227241), we get a palindrome (1657222227561).

The spelling of 1427221000320 in words is "one trillion, four hundred twenty-seven billion, two hundred twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 291 320 384 388 480 485 582 640 776 960 970 1164 1455 1552 1920 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 12416 15520 18624 23280 31040 37248 46560 62080 93120 186240 7663343 15326686 22990029 30653372 38316715 45980058 61306744 76633430 91960116 114950145 122613488 153266860 183920232 229900290 245226976 306533720 367840464 459800580 490453952 613067440 735680928 743344271 919601160 980907904 1226134880 1471361856 1486688542 1839202320 2230032813 2452269760 2942723712 2973377084 3678404640 3716721355 4460065626 4904539520 5946754168 7356809280 7433442710 8920131252 11150164065 11893508336 14713618560 14866885420 17840262504 22300328130 23787016672 29733770840 35680525008 44600656260 47574033344 59467541680 71361050016 89201312520 95148066688 118935083360 142722100032 178402625040 237870166720 285444200064 356805250080 475740333440 713610500160 1427221000320