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11400341322400 = 255243331405271
BaseRepresentation
bin1010010111100101100101…
…0010110111101010100000
31111100212021101111000121121
42211321121102313222200
52443240344334304100
640125124451302024
72254435041240352
oct245713122675240
944325241430547
1011400341322400
1136a5948519938
1213415672aa914
1364908069a8c4
142b5acabc70d2
1514b83802551a
hexa5e594b7aa0

11400341322400 has 72 divisors (see below), whose sum is σ = 28478317833504. Its totient is φ = 4454086828800.

The previous prime is 11400341322389. The next prime is 11400341322401. The reversal of 11400341322400 is 422314300411.

11400341322400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11400341322401) 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, 165668236 + ... + 165737035.

It is an arithmetic number, because the mean of its divisors is an integer number (395532192132).

Almost surely, 211400341322400 is an apocalyptic number.

11400341322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400341322400 is an abundant number, since it is smaller than the sum of its proper divisors (17077976511104).

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

11400341322400 is a wasteful number, since it uses less digits than its factorization.

11400341322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331405334 (or 331405321 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11400341322400 its reverse (422314300411), we get a palindrome (11822655622811).

The spelling of 11400341322400 in words is "eleven trillion, four hundred billion, three hundred forty-one million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 430 688 800 860 1075 1376 1720 2150 3440 4300 6880 8600 17200 34400 331405271 662810542 1325621084 1657026355 2651242168 3314052710 5302484336 6628105420 8285131775 10604968672 13256210840 14250426653 16570263550 26512421680 28500853306 33140527100 53024843360 57001706612 66281054200 71252133265 114003413224 132562108400 142504266530 228006826448 265124216800 285008533060 356260666325 456013652896 570017066120 712521332650 1140034132240 1425042665300 2280068264480 2850085330600 5700170661200 11400341322400