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1411131344 = 247431132593
BaseRepresentation
bin101010000011100…
…0010011111010000
310122100021220021212
41110013002133100
510342222200334
6352005235252
746653263360
oct12407023720
93570256255
101411131344
11664601957
12334702b28
1319647827c
14d55ac9a0
1583d42ece
hex541c27d0

1411131344 has 80 divisors (see below), whose sum is σ = 3226852992. Its totient is φ = 585252864.

The previous prime is 1411131277. The next prime is 1411131347. The reversal of 1411131344 is 4431311141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411131347) 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 15 ways as a sum of consecutive naturals, for example, 542912 + ... + 545504.

Almost surely, 21411131344 is an apocalyptic number.

1411131344 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 1411131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613426496).

1411131344 is an abundant number, since it is smaller than the sum of its proper divisors (1815721648).

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

1411131344 is a wasteful number, since it uses less digits than its factorization.

1411131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2758 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 1411131344 is about 37565.0282044350. The cubic root of 1411131344 is about 1121.6460023948.

Adding to 1411131344 its reverse (4431311141), we get a palindrome (5842442485).

The spelling of 1411131344 in words is "one billion, four hundred eleven million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 113 172 226 301 344 452 602 688 791 904 1204 1582 1808 2408 2593 3164 4816 4859 5186 6328 9718 10372 12656 18151 19436 20744 34013 36302 38872 41488 68026 72604 77744 111499 136052 145208 222998 272104 290416 293009 445996 544208 586018 780493 891992 1172036 1560986 1783984 2051063 2344072 3121972 4102126 4688144 6243944 8204252 12487888 12599387 16408504 25198774 32817008 50397548 88195709 100795096 176391418 201590192 352782836 705565672 1411131344