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1451144244 = 22311234311109
BaseRepresentation
bin101011001111110…
…1011010000110100
310202010120202200010
41112133223100310
510432443103434
6355555020220
750650344144
oct12637532064
93663522603
101451144244
11685151170
12345b9a670
131a1847944
14daa26924
15875e89e9
hex567eb434

1451144244 has 96 divisors (see below), whose sum is σ = 3866849280. Its totient is φ = 419267200.

The previous prime is 1451144243. The next prime is 1451144257. The reversal of 1451144244 is 4424411541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1451144243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1307962 + ... + 1309070.

It is an arithmetic number, because the mean of its divisors is an integer number (40279680).

Almost surely, 21451144244 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 1451144244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933424640).

1451144244 is an abundant number, since it is smaller than the sum of its proper divisors (2415705036).

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

1451144244 is a wasteful number, since it uses less digits than its factorization.

1451144244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 1451144244 is about 38093.8872261679. The cubic root of 1451144244 is about 1132.1488450242.

Adding to 1451144244 its reverse (4424411541), we get a palindrome (5875555785).

The spelling of 1451144244 in words is "one billion, four hundred fifty-one million, one hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 431 506 759 862 1012 1109 1293 1518 1724 2218 2586 3036 3327 4436 4741 5172 6654 9482 9913 12199 13308 14223 18964 19826 24398 25507 28446 29739 36597 39652 48796 51014 56892 59478 73194 76521 102028 109043 118956 146388 153042 218086 280577 306084 327129 436172 477979 561154 654258 841731 955958 1122308 1308516 1433937 1683462 1911916 2867874 3366924 5257769 5735748 10515538 10993517 15773307 21031076 21987034 31546614 32980551 43974068 63093228 65961102 120928687 131922204 241857374 362786061 483714748 725572122 1451144244