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134312204400 = 243521110175167
BaseRepresentation
bin111110100010110100…
…0011001100001110000
3110211200110002220222220
41331011220121201300
54200032411020100
6141411400401040
712463244620563
oct1750550314160
9424613086886
10134312204400
1151a63813120
1222044a76180
13c8863a807a
14670208c4da
153761708aa0
hex1f45a19870

134312204400 has 120 divisors (see below), whose sum is σ = 469360149504. Its totient is φ = 32560531200.

The previous prime is 134312204387. The next prime is 134312204413. The reversal of 134312204400 is 4402213431.

It is an interprime number because it is at equal distance from previous prime (134312204387) and next prime (134312204413).

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5074384 + ... + 5100783.

Almost surely, 2134312204400 is an apocalyptic number.

134312204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134312204400 is an abundant number, since it is smaller than the sum of its proper divisors (335047945104).

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

134312204400 is a wasteful number, since it uses less digits than its factorization.

134312204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175199 (or 10175188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134312204400 its reverse (4402213431), we get a palindrome (138714417831).

The spelling of 134312204400 in words is "one hundred thirty-four billion, three hundred twelve million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 10175167 20350334 30525501 40700668 50875835 61051002 81401336 101751670 111926837 122102004 152627505 162802672 203503340 223853674 244204008 254379175 305255010 335780511 407006680 447707348 488408016 508758350 559634185 610510020 671561022 763137525 814013360 895414696 1017516700 1119268370 1221020040 1343122044 1526275050 1678902555 1790829392 2035033400 2238536740 2442040080 2686244088 2798170925 3052550100 3357805110 4070066800 4477073480 5372488176 5596341850 6105100200 6715610220 8394512775 8954146960 11192683700 12210200400 13431220440 16789025550 22385367400 26862440880 33578051100 44770734800 67156102200 134312204400