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11316040000 = 26541012801
BaseRepresentation
bin10101000100111110…
…10001000101000000
31002012122010101121121
422202133101011000
5141133401240000
65110514002024
7550264516156
oct124237210500
932178111547
1011316040000
114887678381
122239876314
1310b4550275
14794c5b3d6
154636bab1a
hex2a27d1140

11316040000 has 140 divisors (see below), whose sum is σ = 28348041348. Its totient is φ = 4480000000.

The previous prime is 11316039989. The next prime is 11316040039. The reversal of 11316040000 is 4061311.

It can be written as a sum of positive squares in 10 ways, for example, as 5494960384 + 5821079616 = 74128^2 + 76296^2 .

It is a super-2 number, since 2×113160400002 (a number of 21 digits) contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 4038600 + ... + 4041400.

Almost surely, 211316040000 is an apocalyptic number.

11316040000 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 11316040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174020674).

11316040000 is an abundant number, since it is smaller than the sum of its proper divisors (17032001348).

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

11316040000 is an equidigital number, since it uses as much as digits as its factorization.

11316040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 11316040000 in words is "eleven billion, three hundred sixteen million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 2801 3232 4000 4040 5000 5050 5602 6464 8000 8080 10000 10100 11204 12625 14005 16160 20000 20200 22408 25250 28010 32320 40000 40400 44816 50500 56020 63125 70025 80800 89632 101000 112040 126250 140050 161600 179264 202000 224080 252500 280100 282901 350125 404000 448160 505000 560200 565802 700250 808000 896320 1010000 1120400 1131604 1400500 1414505 1750625 2020000 2240800 2263208 2801000 2829010 3501250 4040000 4481600 4526416 5602000 5658020 7002500 7072525 9052832 11204000 11316040 14005000 14145050 18105664 22408000 22632080 28010000 28290100 35362625 45264160 56020000 56580200 70725250 90528320 112040000 113160400 141450500 176813125 226320800 282901000 353626250 452641600 565802000 707252500 1131604000 1414505000 2263208000 2829010000 5658020000 11316040000