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400111244240 = 245109139330103
BaseRepresentation
bin1011101001010000111…
…11010001001111010000
31102020202102220011101212
411310220133101033100
523023411434303430
6503450352315252
740623062314151
oct5645037211720
91366672804355
10400111244240
11144760403894
1265664542b28
132b9656bab36
1415518c7d928
15a61b56eb95
hex5d287d13d0

400111244240 has 80 divisors (see below), whose sum is σ = 945549897600. Its totient is φ = 157434886656.

The previous prime is 400111244191. The next prime is 400111244249. The reversal of 400111244240 is 42442111004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400111244249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047029 + ... + 1377131.

It is an arithmetic number, because the mean of its divisors is an integer number (11819373720).

Almost surely, 2400111244240 is an apocalyptic number.

400111244240 is a gapful number since it is divisible by the number (40) 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 400111244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472774948800).

400111244240 is an abundant number, since it is smaller than the sum of its proper divisors (545438653360).

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

400111244240 is a wasteful number, since it uses less digits than its factorization.

400111244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330364 (or 330358 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 400111244240 its reverse (42442111004), we get a palindrome (442553355244).

The spelling of 400111244240 in words is "four hundred billion, one hundred eleven million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 139 218 278 436 545 556 695 872 1090 1112 1390 1744 2180 2224 2780 4360 5560 8720 11120 15151 30302 60604 75755 121208 151510 242416 303020 330103 606040 660206 1212080 1320412 1650515 2640824 3301030 5281648 6602060 13204120 26408240 35981227 45884317 71962454 91768634 143924908 179906135 183537268 229421585 287849816 359812270 367074536 458843170 575699632 719624540 734149072 917686340 1439249080 1835372680 2878498160 3670745360 5001390553 10002781106 20005562212 25006952765 40011124424 50013905530 80022248848 100027811060 200055622120 400111244240