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1411131040 = 25511272889
BaseRepresentation
bin101010000011100…
…0010011010100000
310122100021212212121
41110013002122200
510342222143130
6352005234024
746653262444
oct12407023240
93570255777
101411131040
11664601700
12334702914
131964780a7
14d55ac824
1583d42d7a
hex541c26a0

1411131040 has 72 divisors (see below), whose sum is σ = 3664471860. Its totient is φ = 513131520.

The previous prime is 1411131037. The next prime is 1411131047. The reversal of 1411131040 is 401311141.

It can be written as a sum of positive squares in 2 ways, for example, as 1369296016 + 41835024 = 37004^2 + 6468^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1411131047) 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 11 ways as a sum of consecutive naturals, for example, 17085 + ... + 55804.

Almost surely, 21411131040 is an apocalyptic number.

1411131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1411131040 is an abundant number, since it is smaller than the sum of its proper divisors (2253340820).

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

1411131040 is a wasteful number, since it uses less digits than its factorization.

1411131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72926 (or 72907 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1411131040 is about 37565.0241581181. The cubic root of 1411131040 is about 1121.6459218494.

Adding to 1411131040 its reverse (401311141), we get a palindrome (1812442181).

The spelling of 1411131040 in words is "one billion, four hundred eleven million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 72889 145778 291556 364445 583112 728890 801779 1166224 1457780 1603558 2332448 2915560 3207116 4008895 5831120 6414232 8017790 8819569 11662240 12828464 16035580 17639138 25656928 32071160 35278276 44097845 64142320 70556552 88195690 128284640 141113104 176391380 282226208 352782760 705565520 1411131040