Search a number
-
+
152105534120240 = 2452637229350481
BaseRepresentation
bin100010100101011011010100…
…010101000110000100110000
3201221120010222012101102102122
4202211123110111012010300
5124414044113213321430
61255300152343333412
744016155634400331
oct4245332425060460
9657503865342378
10152105534120240
114451365a69a638
12150870a3751268
1366b464b30bb7c
14297bd38d06288
15128b932405ee5
hex8a56d4546130

152105534120240 has 40 divisors (see below), whose sum is σ = 354990026068128. Its totient is φ = 60610874424320.

The previous prime is 152105534120227. The next prime is 152105534120279. The reversal of 152105534120240 is 42021435501251.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152105534120240.

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 7 ways as a sum of consecutive naturals, for example, 3614654201 + ... + 3614696280.

Almost surely, 2152105534120240 is an apocalyptic number.

152105534120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152105534120240 is an abundant number, since it is smaller than the sum of its proper divisors (202884491947888).

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

152105534120240 is a wasteful number, since it uses less digits than its factorization.

152105534120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229350757 (or 7229350751 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 152105534120240 its reverse (42021435501251), we get a palindrome (194126969621491).

The spelling of 152105534120240 in words is "one hundred fifty-two trillion, one hundred five billion, five hundred thirty-four million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263 526 1052 1315 2104 2630 4208 5260 10520 21040 7229350481 14458700962 28917401924 36146752405 57834803848 72293504810 115669607696 144587009620 289174019240 578348038480 1901319176503 3802638353006 7605276706012 9506595882515 15210553412024 19013191765030 30421106824048 38026383530060 76052767060120 152105534120240