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11204042240 = 29513133409
BaseRepresentation
bin10100110111101000…
…00001111000000000
31001220211101022120102
422123310001320000
5140421213322430
65051433301532
7544434534116
oct123364017000
931824338512
1011204042240
11482a431846
1222082648a8
1310972987c1
14784025ab6
15458946345
hex29bd01e00

11204042240 has 80 divisors (see below), whose sum is σ = 27069316560. Its totient is φ = 4447272960.

The previous prime is 11204042231. The next prime is 11204042251. The reversal of 11204042240 is 4224040211.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 318656 + ... + 352064.

It is an arithmetic number, because the mean of its divisors is an integer number (338366457).

Almost surely, 211204042240 is an apocalyptic number.

11204042240 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 11204042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534658280).

11204042240 is an abundant number, since it is smaller than the sum of its proper divisors (15865274320).

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

11204042240 is an equidigital number, since it uses as much as digits as its factorization.

11204042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33563 (or 33547 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11204042240 its reverse (4224040211), we get a palindrome (15428082451).

The spelling of 11204042240 in words is "eleven billion, two hundred four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 256 262 320 512 524 640 655 1048 1280 1310 2096 2560 2620 4192 5240 8384 10480 16768 20960 33409 33536 41920 66818 67072 83840 133636 167045 167680 267272 334090 335360 534544 668180 1069088 1336360 2138176 2672720 4276352 4376579 5345440 8552704 8753158 10690880 17105408 17506316 21381760 21882895 35012632 42763520 43765790 70025264 85527040 87531580 140050528 175063160 280101056 350126320 560202112 700252640 1120404224 1400505280 2240808448 2801010560 5602021120 11204042240