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134400323404000 = 255367614969691
BaseRepresentation
bin11110100011110010000011…
…100010001100000011100000
3122121212112201121210222120201
4132203302003202030003200
5120104003330242412000
61153502353423514544
740211050206412453
oct3643620342140340
9577775647728521
10134400323404000
1139907947830425
12130a7824458a54
1359cbb859c2664
14252902060749a
1510810da53096a
hex7a3c8388c0e0

134400323404000 has 96 divisors (see below), whose sum is σ = 330270503183712. Its totient is φ = 53752167040000.

The previous prime is 134400323403979. The next prime is 134400323404013. The reversal of 134400323404000 is 404323004431.

It is a self number, because there is not a number n which added to its sum of digits gives 134400323404000.

It is a congruent number.

It is an unprimeable number.

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, 24559155 + ... + 29528845.

It is an arithmetic number, because the mean of its divisors is an integer number (3440317741497).

Almost surely, 2134400323404000 is an apocalyptic number.

134400323404000 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 134400323404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165135251591856).

134400323404000 is an abundant number, since it is smaller than the sum of its proper divisors (195870179779712).

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

134400323404000 is an equidigital number, since it uses as much as digits as its factorization.

134400323404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976477 (or 4976459 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 134400323404000 its reverse (404323004431), we get a palindrome (134804646408431).

The spelling of 134400323404000 in words is "one hundred thirty-four trillion, four hundred billion, three hundred twenty-three million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 6761 13522 27044 33805 54088 67610 108176 135220 169025 216352 270440 338050 540880 676100 845125 1081760 1352200 1690250 2704400 3380500 4969691 5408800 6761000 9939382 13522000 19878764 24848455 27044000 39757528 49696910 79515056 99393820 124242275 159030112 198787640 248484550 397575280 496969100 621211375 795150560 993938200 1242422750 1987876400 2484845500 3975752800 4969691000 9939382000 19878764000 33600080851 67200161702 134400323404 168000404255 268800646808 336000808510 537601293616 672001617020 840002021275 1075202587232 1344003234040 1680004042550 2688006468080 3360008085100 4200010106375 5376012936160 6720016170200 8400020212750 13440032340400 16800040425500 26880064680800 33600080851000 67200161702000 134400323404000