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134000511145400 = 23523172557826583
BaseRepresentation
bin11110011101111101101100…
…110111011101010110111000
3122120110022202000111212101002
4132131331230313131112320
5120030431021323123100
61152554552431344132
740140134404321454
oct3635755467352670
9576408660455332
10134000511145400
1139773330178a09
1213042244082048
1359a026a238a03
142513933355664
1510759da36e2d5
hex79df6cddd5b8

134000511145400 has 96 divisors (see below), whose sum is σ = 312656604812640. Its totient is φ = 53410158005760.

The previous prime is 134000511145393. The next prime is 134000511145493. The reversal of 134000511145400 is 4541115000431.

134000511145400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1340005111454002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161700509 + ... + 162527091.

It is an arithmetic number, because the mean of its divisors is an integer number (3256839633465).

Almost surely, 2134000511145400 is an apocalyptic number.

134000511145400 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 134000511145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156328302406320).

134000511145400 is an abundant number, since it is smaller than the sum of its proper divisors (178656093667240).

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

134000511145400 is a wasteful number, since it uses less digits than its factorization.

134000511145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829473 (or 829464 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 134000511145400 its reverse (4541115000431), we get a palindrome (138541626145831).

The spelling of 134000511145400 in words is "one hundred thirty-four trillion, five hundred eleven million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 1268 1585 2536 2557 3170 5114 6340 7925 10228 12680 12785 15850 20456 25570 31700 51140 63400 63925 102280 127850 255700 511400 810569 826583 1621138 1653166 3242276 3306332 4052845 4132915 6484552 6612664 8105690 8265830 16211380 16531660 20264225 20664575 32422760 33063320 40528450 41329150 81056900 82658300 162113800 165316600 262026811 524053622 1048107244 1310134055 2096214488 2113572731 2620268110 4227145462 5240536220 6550670275 8454290924 10481072440 10567863655 13101340550 16908581848 21135727310 26202681100 42271454620 52405362200 52839318275 84542909240 105678636550 211357273100 422714546200 670002555727 1340005111454 2680010222908 3350012778635 5360020445816 6700025557270 13400051114540 16750063893175 26800102229080 33500127786350 67000255572700 134000511145400