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134010010400 = 2552723930359
BaseRepresentation
bin111110011001110011…
…1100111101100100000
3110210220101110212202112
41330303213213230200
54143423030313100
6141321403334452
712452615202530
oct1746347475440
9423811425675
10134010010400
1151919180312
1221b7b821428
13c8388bc756
1466b3ca74c0
153744e14b35
hex1f339e7b20

134010010400 has 72 divisors (see below), whose sum is σ = 373887944640. Its totient is φ = 45946287360.

The previous prime is 134010010373. The next prime is 134010010441. The reversal of 134010010400 is 4010010431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11959580 + ... + 11970779.

It is an arithmetic number, because the mean of its divisors is an integer number (5192888120).

Almost surely, 2134010010400 is an apocalyptic number.

134010010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134010010400 is an abundant number, since it is smaller than the sum of its proper divisors (239877934240).

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

134010010400 is a wasteful number, since it uses less digits than its factorization.

134010010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23930386 (or 23930373 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 134010010400 its reverse (4010010431), we get a palindrome (138020020831).

The spelling of 134010010400 in words is "one hundred thirty-four billion, ten million, ten thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 23930359 47860718 95721436 119651795 167512513 191442872 239303590 335025026 382885744 478607180 598258975 670050052 765771488 837562565 957214360 1196517950 1340100104 1675125130 1914428720 2393035900 2680200208 3350250260 3828857440 4187812825 4786071800 5360400416 6700500520 8375625650 9572143600 13401001040 16751251300 19144287200 26802002080 33502502600 67005005200 134010010400