Search a number
-
+
1441212010 = 257231791201
BaseRepresentation
bin101010111100111…
…0010011001101010
310201102220011012121
41111321302121222
510422422241020
6355002101454
750500046200
oct12571623152
93642804177
101441212010
1167a587a07
123427aa88a
1319c77ab94
14d959d070
15867d5baa
hex55e7266a

1441212010 has 96 divisors (see below), whose sum is σ = 3157125120. Its totient is φ = 471744000.

The previous prime is 1441211999. The next prime is 1441212023. The reversal of 1441212010 is 102121441.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1199410 + ... + 1200610.

It is an arithmetic number, because the mean of its divisors is an integer number (32886720).

Almost surely, 21441212010 is an apocalyptic number.

1441212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1441212010 is an abundant number, since it is smaller than the sum of its proper divisors (1715913110).

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

1441212010 is a wasteful number, since it uses less digits than its factorization.

1441212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1441212010 is about 37963.2981970745. The cubic root of 1441212010 is about 1129.5599638900.

Adding to 1441212010 its reverse (102121441), we get a palindrome (1543333451).

The spelling of 1441212010 in words is "one billion, four hundred forty-one million, two hundred twelve thousand, ten".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 79 98 155 158 217 245 310 395 434 490 553 790 1085 1106 1201 1519 2170 2402 2449 2765 3038 3871 4898 5530 6005 7595 7742 8407 12010 12245 15190 16814 17143 19355 24490 34286 37231 38710 42035 58849 74462 84070 85715 94879 117698 120001 171430 186155 189758 240002 260617 294245 372310 474395 521234 588490 600005 664153 948790 1200010 1303085 1328306 1824319 2606170 2941249 3320765 3648638 4649071 5882498 6641530 9121595 9298142 14706245 18243190 20588743 23245355 29412490 41177486 46490710 102943715 144121201 205887430 288242402 720606005 1441212010