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134348487408 = 2433487638587
BaseRepresentation
bin111110100011111001…
…0110011101011110000
3110211202222101021221000
41331013302303223300
54200121203044113
6141415134202000
712464165205132
oct1750762635360
9424688337830
10134348487408
1151a82245083
1222055053300
13c890a6cac5
146706c15052
1537649c4373
hex1f47cb3af0

134348487408 has 80 divisors (see below), whose sum is σ = 386422370560. Its totient is φ = 44690802624.

The previous prime is 134348487401. The next prime is 134348487431. The reversal of 134348487408 is 804784843431.

134348487408 is a `hidden beast` number, since 1 + 3 + 43 + 484 + 87 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134348487401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108910 + ... + 529677.

It is an arithmetic number, because the mean of its divisors is an integer number (4830279632).

Almost surely, 2134348487408 is an apocalyptic number.

134348487408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134348487408 is an abundant number, since it is smaller than the sum of its proper divisors (252073883152).

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

134348487408 is a wasteful number, since it uses less digits than its factorization.

134348487408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639091 (or 639079 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 134348487408 in words is "one hundred thirty-four billion, three hundred forty-eight million, four hundred eighty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 487 974 1461 1948 2922 3896 4383 5844 7792 8766 11688 13149 17532 23376 26298 35064 52596 70128 105192 210384 638587 1277174 1915761 2554348 3831522 5108696 5747283 7663044 10217392 11494566 15326088 17241849 22989132 30652176 34483698 45978264 68967396 91956528 137934792 275869584 310991869 621983738 932975607 1243967476 1865951214 2487934952 2798926821 3731902428 4975869904 5597853642 7463804856 8396780463 11195707284 14927609712 16793560926 22391414568 33587121852 44782829136 67174243704 134348487408