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1441202202 = 2321121494441
BaseRepresentation
bin101010111100111…
…0000000000011010
310201102212122202100
41111321300000122
510422421432302
6355001544230
750500005456
oct12571600032
93642778670
101441202202
1167a580600
123427a5076
1319c77658b
14d9599666
15867d2d1c
hex55e7001a

1441202202 has 72 divisors (see below), whose sum is σ = 3456098100. Its totient is φ = 433699200.

The previous prime is 1441202197. The next prime is 1441202209. The reversal of 1441202202 is 2022021441.

1441202202 is a `hidden beast` number, since 1 + 441 + 2 + 0 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1334513961 + 106688241 = 36531^2 + 10329^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1441202209) 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 35 ways as a sum of consecutive naturals, for example, 322302 + ... + 326742.

Almost surely, 21441202202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728049050).

1441202202 is an abundant number, since it is smaller than the sum of its proper divisors (2014895898).

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

1441202202 is a wasteful number, since it uses less digits than its factorization.

1441202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1441202202 is about 37963.1690194588. The cubic root of 1441202202 is about 1129.5574015214.

Adding to 1441202202 its reverse (2022021441), we get a palindrome (3463223643).

The spelling of 1441202202 in words is "one billion, four hundred forty-one million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 149 198 242 298 363 447 726 894 1089 1341 1639 2178 2682 3278 4441 4917 8882 9834 13323 14751 18029 26646 29502 36058 39969 48851 54087 79938 97702 108174 146553 162261 293106 324522 439659 537361 661709 879318 1074722 1323418 1612083 1985127 3224166 3970254 4836249 5955381 7278799 9672498 11910762 14557598 21836397 43672794 65509191 80066789 131018382 160133578 240200367 480400734 720601101 1441202202