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11401400304 = 2432717365381
BaseRepresentation
bin10101001111001001…
…11000111111110000
31002102120202010221100
422213210320333300
5141322224302204
65123203324400
7552352206060
oct124744707760
932376663840
1011401400304
11492087a888
122262380700
1310c9139418
147a231b3a0
1546ae2ca39
hex2a7938ff0

11401400304 has 120 divisors (see below), whose sum is σ = 36677732832. Its totient is φ = 3238663680.

The previous prime is 11401400303. The next prime is 11401400323. The reversal of 11401400304 is 40300410411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401400303) 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 23 ways as a sum of consecutive naturals, for example, 141694 + ... + 207074.

Almost surely, 211401400304 is an apocalyptic number.

11401400304 is a gapful number since it is divisible by the number (14) 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 11401400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338866416).

11401400304 is an abundant number, since it is smaller than the sum of its proper divisors (25276332528).

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

11401400304 is a wasteful number, since it uses less digits than its factorization.

11401400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65575 (or 65566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11401400304 its reverse (40300410411), we get a palindrome (51701810715).

The spelling of 11401400304 in words is "eleven billion, four hundred one million, four hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 173 252 336 346 504 519 692 1008 1038 1211 1384 1557 2076 2422 2768 3114 3633 4152 4844 6228 7266 8304 9688 10899 12456 14532 19376 21798 24912 29064 43596 58128 65381 87192 130762 174384 196143 261524 392286 457667 523048 588429 784572 915334 1046096 1176858 1373001 1569144 1830668 2353716 2746002 3138288 3661336 4119003 4707432 5492004 7322672 8238006 9414864 10984008 11310913 16476012 21968016 22621826 32952024 33932739 45243652 65904048 67865478 79176391 90487304 101798217 135730956 158352782 180974608 203596434 237529173 271461912 316705564 407192868 475058346 542923824 633411128 712587519 814385736 950116692 1266822256 1425175038 1628771472 1900233384 2850350076 3800466768 5700700152 11401400304