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11400534400 = 275210334589
BaseRepresentation
bin10101001111000011…
…00101100110000000
31002102112010011010211
422213201211212000
5141322014100100
65123133003504
7552341641423
oct124741454600
932375104124
1011400534400
114920339262
122262023594
1310c8bc5258
147a21739ba
1546ad0b1ba
hex2a7865980

11400534400 has 96 divisors (see below), whose sum is σ = 28437130800. Its totient is φ = 4515809280.

The previous prime is 11400534389. The next prime is 11400534403. The reversal of 11400534400 is 443500411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400534403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312306 + ... + 346894.

Almost surely, 211400534400 is an apocalyptic number.

11400534400 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 11400534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218565400).

11400534400 is an abundant number, since it is smaller than the sum of its proper divisors (17036596400).

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

11400534400 is a wasteful number, since it uses less digits than its factorization.

11400534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34716 (or 34699 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 11400534400 in words is "eleven billion, four hundred million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 128 160 200 206 320 400 412 515 640 800 824 1030 1600 1648 2060 2575 3200 3296 4120 5150 6592 8240 10300 13184 16480 20600 32960 34589 41200 65920 69178 82400 138356 164800 172945 276712 329600 345890 553424 691780 864725 1106848 1383560 1729450 2213696 2767120 3458900 3562667 4427392 5534240 6917800 7125334 11068480 13835600 14250668 17813335 22136960 27671200 28501336 35626670 55342400 57002672 71253340 89066675 110684800 114005344 142506680 178133350 228010688 285013360 356266700 456021376 570026720 712533400 1140053440 1425066800 2280106880 2850133600 5700267200 11400534400