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134312511400 = 23521097612181
BaseRepresentation
bin111110100010110100…
…1100100011110101000
3110211200110200112010021
41331011221210132220
54200033000331100
6141411411130224
712463250336614
oct1750551443650
9424613615107
10134312511400
1151a63a02841
1222044ba3974
13c886484a22
14670212c344
153761769a1a
hex1f45a647a8

134312511400 has 48 divisors (see below), whose sum is σ = 312561763740. Its totient is φ = 53675942400.

The previous prime is 134312511343. The next prime is 134312511409. The reversal of 134312511400 is 4115213431.

It can be written as a sum of positive squares in 6 ways, for example, as 53031641796 + 81280869604 = 230286^2 + 285098^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (134312511409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86691 + ... + 525490.

Almost surely, 2134312511400 is an apocalyptic number.

134312511400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134312511400 is an abundant number, since it is smaller than the sum of its proper divisors (178249252340).

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

134312511400 is a wasteful number, since it uses less digits than its factorization.

134312511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613294 (or 613285 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 134312511400 its reverse (4115213431), we get a palindrome (138427724831).

The spelling of 134312511400 in words is "one hundred thirty-four billion, three hundred twelve million, five hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1097 2194 4388 5485 8776 10970 21940 27425 43880 54850 109700 219400 612181 1224362 2448724 3060905 4897448 6121810 12243620 15304525 24487240 30609050 61218100 122436200 671562557 1343125114 2686250228 3357812785 5372500456 6715625570 13431251140 16789063925 26862502280 33578127850 67156255700 134312511400