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134101433400 = 233521120318399
BaseRepresentation
bin111110011100100010…
…0010111110000111000
3110211010202111122112120
41330321010113300320
54144114431332100
6141334431041240
712455105243064
oct1747104276070
9424122448476
10134101433400
1151965843810
1221ba6370220
13c85181c2bc
1466c20a4aa4
15374ce730a0
hex1f39117c38

134101433400 has 96 divisors (see below), whose sum is σ = 453506688000. Its totient is φ = 32509436800.

The previous prime is 134101433341. The next prime is 134101433447. The reversal of 134101433400 is 4334101431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 10152600 + ... + 10165799.

It is an arithmetic number, because the mean of its divisors is an integer number (4724028000).

Almost surely, 2134101433400 is an apocalyptic number.

134101433400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134101433400 is an abundant number, since it is smaller than the sum of its proper divisors (319405254600).

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

134101433400 is a wasteful number, since it uses less digits than its factorization.

134101433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20318429 (or 20318420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134101433400 its reverse (4334101431), we get a palindrome (138435534831).

The spelling of 134101433400 in words is "one hundred thirty-four billion, one hundred one million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 20318399 40636798 60955197 81273596 101591995 121910394 162547192 203183990 223502389 243820788 304775985 406367980 447004778 487641576 507959975 609551970 670507167 812735960 894009556 1015919950 1117511945 1219103940 1341014334 1523879925 1788019112 2031839900 2235023890 2438207880 2682028668 3047759850 3352535835 4063679800 4470047780 5364057336 5587559725 6095519700 6705071670 8940095560 11175119450 12191039400 13410143340 16762679175 22350238900 26820286680 33525358350 44700477800 67050716700 134101433400