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134211042400 = 2552179868459
BaseRepresentation
bin111110011111110011…
…0011111110001100000
3110211102101202100211011
41330333212133301200
54144331011324100
6141353344230304
712460606015621
oct1747746376140
9424371670734
10134211042400
1151a116a8666
122201700b394
13c86b4486b6
1466d2877a48
1537578c4bba
hex1f3f99fc60

134211042400 has 72 divisors (see below), whose sum is σ = 346915842840. Its totient is φ = 50526504960.

The previous prime is 134211042389. The next prime is 134211042431. The reversal of 134211042400 is 4240112431.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4920630 + ... + 4947829.

It is an arithmetic number, because the mean of its divisors is an integer number (4818275595).

Almost surely, 2134211042400 is an apocalyptic number.

134211042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134211042400 is an abundant number, since it is smaller than the sum of its proper divisors (212704800440).

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

134211042400 is a wasteful number, since it uses less digits than its factorization.

134211042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868496 (or 9868483 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 134211042400 its reverse (4240112431), we get a palindrome (138451154831).

The spelling of 134211042400 in words is "one hundred thirty-four billion, two hundred eleven million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 9868459 19736918 39473836 49342295 78947672 98684590 157895344 167763803 197369180 246711475 315790688 335527606 394738360 493422950 671055212 789476720 838819015 986845900 1342110424 1578953440 1677638030 1973691800 2684220848 3355276060 3947383600 4194095075 5368441696 6710552120 7894767200 8388190150 13421104240 16776380300 26842208480 33552760600 67105521200 134211042400