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11411002240 = 275111620881
BaseRepresentation
bin10101010000010011…
…00001001110000000
31002110020210222022121
422220021201032000
5141332204032430
65124145214024
7552526630051
oct125011411600
932406728277
1011411002240
114926238970
122265631314
1310cb11ba41
147a36da728
1546bbc7a7a
hex2a8261380

11411002240 has 64 divisors (see below), whose sum is σ = 29759393520. Its totient is φ = 4149452800.

The previous prime is 11411002231. The next prime is 11411002241. The reversal of 11411002240 is 4220011411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411002241) 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 7 ways as a sum of consecutive naturals, for example, 803401 + ... + 817480.

Almost surely, 211411002240 is an apocalyptic number.

11411002240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411002240 is an abundant number, since it is smaller than the sum of its proper divisors (18348391280).

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

11411002240 is a wasteful number, since it uses less digits than its factorization.

11411002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620911 (or 1620899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11411002240 its reverse (4220011411), we get a palindrome (15631013651).

The spelling of 11411002240 in words is "eleven billion, four hundred eleven million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1620881 3241762 6483524 8104405 12967048 16208810 17829691 25934096 32417620 35659382 51868192 64835240 71318764 89148455 103736384 129670480 142637528 178296910 207472768 259340960 285275056 356593820 518681920 570550112 713187640 1037363840 1141100224 1426375280 2282200448 2852750560 5705501120 11411002240