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134304454400 = 285241511831
BaseRepresentation
bin111110100010100101…
…0110101011100000000
3110211122220112011222212
41331011022311130000
54200023420020100
6141410522321252
712463122012044
oct1750512653400
9424586464885
10134304454400
1151a5a3aa466
1222042359228
13c8848c367c
146701032024
153760bc7635
hex1f452b5700

134304454400 has 108 divisors (see below), whose sum is σ = 340533089904. Its totient is φ = 52411392000.

The previous prime is 134304454399. The next prime is 134304454421. The reversal of 134304454400 is 4454403431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6485 + ... + 518315.

Almost surely, 2134304454400 is an apocalyptic number.

134304454400 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 134304454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170266544952).

134304454400 is an abundant number, since it is smaller than the sum of its proper divisors (206228635504).

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

134304454400 is an equidigital number, since it uses as much as digits as its factorization.

134304454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511898 (or 511879 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 134304454400 its reverse (4454403431), we get a palindrome (138758857831).

The spelling of 134304454400 in words is "one hundred thirty-four billion, three hundred four million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 256 320 328 400 410 640 656 800 820 1025 1280 1312 1600 1640 2050 2624 3200 3280 4100 5248 6400 6560 8200 10496 13120 16400 26240 32800 52480 65600 131200 262400 511831 1023662 2047324 2559155 4094648 5118310 8189296 10236620 12795775 16378592 20473240 20985071 25591550 32757184 40946480 41970142 51183100 65514368 81892960 83940284 102366200 104925355 131028736 163785920 167880568 204732400 209850710 327571840 335761136 409464800 419701420 524626775 655143680 671522272 818929600 839402840 1049253550 1343044544 1637859200 1678805680 2098507100 2686089088 3275718400 3357611360 4197014200 5372178176 6715222720 8394028400 13430445440 16788056800 26860890880 33576113600 67152227200 134304454400