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1411486944 = 253721911571
BaseRepresentation
bin101010000100001…
…1001010011100000
310122100221222002020
41110020121103200
510342320040234
6352021021440
746656304200
oct12410312340
93570858066
101411486944
1166482503a
12334854880
1319657109a
14d5662400
1583db3549
hex542194e0

1411486944 has 144 divisors (see below), whose sum is σ = 4335399936. Its totient is φ = 400915200.

The previous prime is 1411486943. The next prime is 1411486949. The reversal of 1411486944 is 4496841141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1411486896 and 1411486905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411486943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897679 + ... + 899249.

It is an arithmetic number, because the mean of its divisors is an integer number (30106944).

Almost surely, 21411486944 is an apocalyptic number.

1411486944 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 1411486944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167699968).

1411486944 is an abundant number, since it is smaller than the sum of its proper divisors (2923912992).

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

1411486944 is a wasteful number, since it uses less digits than its factorization.

1411486944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1774 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 1411486944 is about 37569.7610319789. The cubic root of 1411486944 is about 1121.7402113951.

The spelling of 1411486944 in words is "one billion, four hundred eleven million, four hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 191 196 224 294 336 382 392 573 588 672 764 784 1146 1176 1337 1528 1568 1571 2292 2352 2674 3056 3142 4011 4584 4704 4713 5348 6112 6284 8022 9168 9359 9426 10696 10997 12568 16044 18336 18718 18852 21392 21994 25136 28077 32088 32991 37436 37704 42784 43988 50272 56154 64176 65982 74872 75408 76979 87976 112308 128352 131964 149744 150816 153958 175952 224616 230937 263928 299488 300061 307916 351904 449232 461874 527856 600122 615832 898464 900183 923748 1055712 1200244 1231664 1800366 1847496 2100427 2400488 2463328 3600732 3694992 4200854 4800976 6301281 7201464 7389984 8401708 9601952 12602562 14402928 14702989 16803416 25205124 28805856 29405978 33606832 44108967 50410248 58811956 67213664 88217934 100820496 117623912 176435868 201640992 235247824 352871736 470495648 705743472 1411486944