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11400412324 = 2272374336559
BaseRepresentation
bin10101001111000010…
…00111110010100100
31002102111212221200111
422213201013302210
5141322001143244
65123130222404
7552340622500
oct124741076244
932374787614
1011400412324
114920265574
122261b84a04
1310c8b81812
147a2141300
1546acd4e34
hex2a7847ca4

11400412324 has 72 divisors (see below), whose sum is σ = 24390199680. Its totient is φ = 4643158464.

The previous prime is 11400412321. The next prime is 11400412333. The reversal of 11400412324 is 42321400411.

It is a happy number.

It is a super-2 number, since 2×114004123242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11400412295 and 11400412304.

It is not an unprimeable number, because it can be changed into a prime (11400412321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293557 + ... + 330115.

Almost surely, 211400412324 is an apocalyptic number.

11400412324 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 11400412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195099840).

11400412324 is an abundant number, since it is smaller than the sum of its proper divisors (12989787356).

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

11400412324 is a wasteful number, since it uses less digits than its factorization.

11400412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36657 (or 36648 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11400412324 its reverse (42321400411), we get a palindrome (53721812735).

The spelling of 11400412324 in words is "eleven billion, four hundred million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 43 49 74 86 98 148 172 196 259 301 518 602 1036 1204 1591 1813 2107 3182 3626 4214 6364 7252 8428 11137 22274 36559 44548 73118 77959 146236 155918 255913 311836 511826 1023652 1352683 1572037 1791391 2705366 3144074 3582782 5410732 6288148 7165564 9468781 11004259 18937562 22008518 37875124 44017036 58165369 66281467 77029813 116330738 132562934 154059626 232661476 265125868 308119252 407157583 814315166 1628630332 2850103081 5700206162 11400412324