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1441057536 = 28325910601
BaseRepresentation
bin101010111100100…
…1100101100000000
310201102121022022100
41111321030230000
510422402320121
6354554510400
750465533632
oct12571145400
93642538270
101441057536
1167a491946
12342735400
1319c725789
14d955ca52
15867a5026
hex55e4cb00

1441057536 has 108 divisors (see below), whose sum is σ = 4225745160. Its totient is φ = 472166400.

The previous prime is 1441057487. The next prime is 1441057559. The reversal of 1441057536 is 6357501441.

1441057536 is a `hidden beast` number, since 1 + 44 + 10 + 575 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1441057536.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 130636 + ... + 141236.

It is an arithmetic number, because the mean of its divisors is an integer number (39127270).

Almost surely, 21441057536 is an apocalyptic number.

1441057536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112872580).

1441057536 is an abundant number, since it is smaller than the sum of its proper divisors (2784687624).

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

1441057536 is a wasteful number, since it uses less digits than its factorization.

1441057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1441057536 is about 37961.2636249111. The cubic root of 1441057536 is about 1129.5196057565.

Adding to 1441057536 its reverse (6357501441), we get a palindrome (7798558977).

The spelling of 1441057536 in words is "one billion, four hundred forty-one million, fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 944 1062 1152 1416 1888 2124 2304 2832 3776 4248 5664 7552 8496 10601 11328 15104 16992 21202 22656 31803 33984 42404 45312 63606 67968 84808 95409 127212 135936 169616 190818 254424 339232 381636 508848 625459 678464 763272 1017696 1250918 1356928 1526544 1876377 2035392 2501836 2713856 3053088 3752754 4070784 5003672 5629131 6106176 7505508 8141568 10007344 11258262 12212352 15011016 20014688 22516524 24424704 30022032 40029376 45033048 60044064 80058752 90066096 120088128 160117504 180132192 240176256 360264384 480352512 720528768 1441057536