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11412331040 = 2551111357383
BaseRepresentation
bin10101010000011101…
…00101101000100000
31002110100022111002102
422220032211220200
5141333024043130
65124233505532
7552544133105
oct125016455040
932410274072
1011412331040
114926a66250
122265b722a8
1310cb495806
147a3964aac
1546bd8b645
hex2a83a5a20

11412331040 has 96 divisors (see below), whose sum is σ = 29673495936. Its totient is φ = 4113141760.

The previous prime is 11412331031. The next prime is 11412331067. The reversal of 11412331040 is 4013321411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 170189 + ... + 227571.

It is an arithmetic number, because the mean of its divisors is an integer number (309098916).

Almost surely, 211412331040 is an apocalyptic number.

11412331040 is a gapful number since it is divisible by the number (10) 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 11412331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836747968).

11412331040 is an abundant number, since it is smaller than the sum of its proper divisors (18261164896).

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

11412331040 is a wasteful number, since it uses less digits than its factorization.

11412331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57522 (or 57514 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11412331040 its reverse (4013321411), we get a palindrome (15425652451).

The spelling of 11412331040 in words is "eleven billion, four hundred twelve million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 113 160 176 220 226 352 440 452 565 880 904 1130 1243 1760 1808 2260 2486 3616 4520 4972 6215 9040 9944 12430 18080 19888 24860 39776 49720 57383 99440 114766 198880 229532 286915 459064 573830 631213 918128 1147660 1262426 1836256 2295320 2524852 3156065 4590640 5049704 6312130 6484279 9181280 10099408 12624260 12968558 20198816 25248520 25937116 32421395 50497040 51874232 64842790 71327069 100994080 103748464 129685580 142654138 207496928 259371160 285308276 356635345 518742320 570616552 713270690 1037484640 1141233104 1426541380 2282466208 2853082760 5706165520 11412331040