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3041141420 = 22523109131463
BaseRepresentation
bin1011010101000100…
…0010001010101100
321211221102222202102
42311101002022230
522212013011140
61221434114232
7135235163342
oct26521021254
97757388672
103041141420
111320710619
1270a57b978
1339608a785
1420bc75992
1512bebde15
hexb54422ac

3041141420 has 96 divisors (see below), whose sum is σ = 6791178240. Its totient is φ = 1141620480.

The previous prime is 3041141413. The next prime is 3041141423. The reversal of 3041141420 is 241411403.

It is a super-2 number, since 2×30411414202 = 18497082272879232800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3041141392 and 3041141401.

It is not an unprimeable number, because it can be changed into a prime (3041141423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6568109 + ... + 6568571.

It is an arithmetic number, because the mean of its divisors is an integer number (70741440).

Almost surely, 23041141420 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 3041141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395589120).

3041141420 is an abundant number, since it is smaller than the sum of its proper divisors (3750036820).

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

3041141420 is a wasteful number, since it uses less digits than its factorization.

3041141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3041141420 is about 55146.5449507038. The cubic root of 3041141420 is about 1448.8125704673.

Adding to 3041141420 its reverse (241411403), we get a palindrome (3282552823).

The spelling of 3041141420 in words is "three billion, forty-one million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 131 218 230 262 436 460 463 524 545 655 926 1090 1310 1852 2180 2315 2507 2620 3013 4630 5014 6026 9260 10028 10649 12052 12535 14279 15065 21298 25070 28558 30130 42596 50140 50467 53245 57116 60260 60653 71395 100934 106490 121306 142790 201868 212980 242612 252335 285580 303265 328417 504670 606530 656834 1009340 1160741 1213060 1313668 1395019 1642085 2321482 2790038 3284170 4642964 5580076 5803705 6568340 6611177 6975095 11607410 13222354 13950190 23214820 26444708 27900380 33055885 66111770 132223540 152057071 304114142 608228284 760285355 1520570710 3041141420