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1441003140 = 223258005573
BaseRepresentation
bin101010111100011…
…1111011010000100
310201102111112200200
41111320333122010
510422344100030
6354553410500
750465216223
oct12570773204
93642445620
101441003140
1167a454a95
12342709a30
1319c706aa5
14d9546cba
1586793d60
hex55e3f684

1441003140 has 36 divisors (see below), whose sum is σ = 4371043404. Its totient is φ = 384267456.

The previous prime is 1441003121. The next prime is 1441003171. The reversal of 1441003140 is 413001441.

It can be written as a sum of positive squares in 2 ways, for example, as 651168324 + 789834816 = 25518^2 + 28104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4002607 + ... + 4002966.

Almost surely, 21441003140 is an apocalyptic number.

1441003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441003140 is an abundant number, since it is smaller than the sum of its proper divisors (2930040264).

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

1441003140 is a wasteful number, since it uses less digits than its factorization.

1441003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005588 (or 8005583 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1441003140 is about 37960.5471509566. The cubic root of 1441003140 is about 1129.5053934806.

Adding to 1441003140 its reverse (413001441), we get a palindrome (1854004581).

The spelling of 1441003140 in words is "one billion, four hundred forty-one million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8005573 16011146 24016719 32022292 40027865 48033438 72050157 80055730 96066876 120083595 144100314 160111460 240167190 288200628 360250785 480334380 720501570 1441003140