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11404013424 = 2431013476779
BaseRepresentation
bin10101001111011101…
…10110111101110000
31002102202122220110120
422213232312331300
5141323411412144
65123335330240
7552413341356
oct124756667560
932382586416
1011404013424
1149222a5091
122263220980
1310c984294b
147a27db7d6
1546b296e19
hex2a7bb6f70

11404013424 has 80 divisors (see below), whose sum is σ = 29842197120. Its totient is φ = 3752300800.

The previous prime is 11404013371. The next prime is 11404013471. The reversal of 11404013424 is 42431040411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11404013394 and 11404013403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1678867 + ... + 1685645.

It is an arithmetic number, because the mean of its divisors is an integer number (373027464).

Almost surely, 211404013424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921098560).

11404013424 is an abundant number, since it is smaller than the sum of its proper divisors (18438183696).

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

11404013424 is a wasteful number, since it uses less digits than its factorization.

11404013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11404013424 its reverse (42431040411), we get a palindrome (53835053835).

The spelling of 11404013424 in words is "eleven billion, four hundred four million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 347 404 606 694 808 1041 1212 1388 1616 2082 2424 2776 4164 4848 5552 6779 8328 13558 16656 20337 27116 35047 40674 54232 70094 81348 105141 108464 140188 162696 210282 280376 325392 420564 560752 684679 841128 1369358 1682256 2054037 2352313 2738716 4108074 4704626 5477432 7056939 8216148 9409252 10954864 14113878 16432296 18818504 28227756 32864592 37637008 56455512 112911024 237583613 475167226 712750839 950334452 1425501678 1900668904 2851003356 3801337808 5702006712 11404013424