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134400111104 = 297474491777
BaseRepresentation
bin111110100101011011…
…1101111001000000000
3110211220120112001022202
41331022313233020000
54200222412023404
6141424220452332
712465363044420
oct1751267571000
9424816461282
10134400111104
1151aa93a4796
122206a3aa0a8
13c89b67627c
14670da12480
1537692c021e
hex1f4adef200

134400111104 has 160 divisors (see below), whose sum is σ = 314304883200. Its totient is φ = 56217305088.

The previous prime is 134400111103. The next prime is 134400111137. The reversal of 134400111104 is 401111004431.

It is not an unprimeable number, because it can be changed into a prime (134400111103) 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 15 ways as a sum of consecutive naturals, for example, 75632264 + ... + 75634040.

It is an arithmetic number, because the mean of its divisors is an integer number (1964405520).

Almost surely, 2134400111104 is an apocalyptic number.

134400111104 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 134400111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157152441600).

134400111104 is an abundant number, since it is smaller than the sum of its proper divisors (179904772096).

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

134400111104 is an equidigital number, since it uses as much as digits as its factorization.

134400111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 134400111104 its reverse (401111004431), we get a palindrome (535511115535).

The spelling of 134400111104 in words is "one hundred thirty-four billion, four hundred million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 449 512 658 752 896 898 1316 1504 1777 1792 1796 2632 3008 3143 3554 3584 3592 5264 6016 6286 7108 7184 10528 12032 12439 12572 14216 14368 21056 21103 24064 24878 25144 28432 28736 42112 42206 49756 50288 56864 57472 83519 84224 84412 99512 100576 113728 114944 147721 167038 168448 168824 199024 201152 227456 229888 295442 334076 337648 398048 402304 454912 584633 590884 668152 675296 796096 797873 804608 909824 1169266 1181768 1336304 1350592 1592192 1595746 1609216 2338532 2363536 2672608 2701184 3184384 3191492 4677064 4727072 5345216 5402368 5585111 6368768 6382984 9354128 9454144 10690432 10804736 11170222 12765968 18708256 18908288 21380864 22340444 25531936 37416512 37500031 37816576 42761728 44680888 51063872 74833024 75000062 75633152 89361776 102127744 149666048 150000124 178723552 204255488 262500217 299332096 300000248 357447104 408510976 525000434 600000496 714894208 1050000868 1200000992 1429788416 2100001736 2400001984 2859576832 4200003472 4800003968 8400006944 9600007936 16800013888 19200015872 33600027776 67200055552 134400111104