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1411337984 = 287316073
BaseRepresentation
bin101010000011111…
…0100111100000000
310122100200101202012
41110013310330000
510342300303414
6352013512052
746655114000
oct12407647400
93570611665
101411337984
11664733131
123347a2628
1319651b344
14d5624000
1583d8433e
hex541f4f00

1411337984 has 72 divisors (see below), whose sum is σ = 3285525600. Its totient is φ = 604821504.

The previous prime is 1411337947. The next prime is 1411337987. The reversal of 1411337984 is 4897331141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411337987) 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 7 ways as a sum of consecutive naturals, for example, 79772 + ... + 95844.

It is an arithmetic number, because the mean of its divisors is an integer number (45632300).

Almost surely, 21411337984 is an apocalyptic number.

1411337984 is a gapful number since it is divisible by the number (14) 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 1411337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642762800).

1411337984 is an abundant number, since it is smaller than the sum of its proper divisors (1874187616).

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

1411337984 is an frugal number, since it uses more digits than its factorization.

1411337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16110 (or 16082 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 1411337984 is about 37567.7785342706. The cubic root of 1411337984 is about 1121.7007493935.

The spelling of 1411337984 in words is "one billion, four hundred eleven million, three hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2744 3136 5488 6272 10976 12544 16073 21952 32146 43904 64292 87808 112511 128584 225022 257168 450044 514336 787577 900088 1028672 1575154 1800176 2057344 3150308 3600352 4114688 5513039 6300616 7200704 11026078 12601232 14401408 22052156 25202464 28802816 44104312 50404928 88208624 100809856 176417248 201619712 352834496 705668992 1411337984