Search a number
-
+
134430320615120 = 24514911277711461
BaseRepresentation
bin11110100100001101111111…
…100000011101111011010000
3122121222102011011212012022222
4132210031333200131323100
5120110001244034140440
61153524234200120212
740213161443454455
oct3644157740357320
9577872134765288
10134430320615120
113991964043a0a2
12130b15b6466068
135a0195661c21a
14252a66852782c
151081c93ca82b5
hex7a437f81ded0

134430320615120 has 40 divisors (see below), whose sum is σ = 314648149789800. Its totient is φ = 53411241474560.

The previous prime is 134430320615099. The next prime is 134430320615131. The reversal of 134430320615120 is 21516023034431.

It can be written as a sum of positive squares in 4 ways, for example, as 25974842288704 + 108455478326416 = 5096552^2 + 10414196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1344303206151202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5638843811 + ... + 5638867650.

It is an arithmetic number, because the mean of its divisors is an integer number (7866203744745).

Almost surely, 2134430320615120 is an apocalyptic number.

134430320615120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134430320615120 is an abundant number, since it is smaller than the sum of its proper divisors (180217829174680).

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

134430320615120 is a wasteful number, since it uses less digits than its factorization.

134430320615120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277711623 (or 11277711617 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 134430320615120 its reverse (21516023034431), we get a palindrome (155946343649551).

The spelling of 134430320615120 in words is "one hundred thirty-four trillion, four hundred thirty billion, three hundred twenty million, six hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 11277711461 22555422922 45110845844 56388557305 90221691688 112777114610 180443383376 225554229220 451108458440 902216916880 1680379007689 3360758015378 6721516030756 8401895038445 13443032061512 16803790076890 26886064123024 33607580153780 67215160307560 134430320615120