Search a number
-
+
4201115300000 = 255542011153
BaseRepresentation
bin111101001000100101111…
…111000011000010100000
3112212121210221121111101222
4331020211333003002200
51022312341004100000
612533544332514212
7612343360565453
oct75104577030240
915777727544358
104201115300000
11137a757078203
1257a25501b968
132462181c4628
141074995c349a
15744322d8a85
hex3d225fc30a0

4201115300000 has 72 divisors (see below), whose sum is σ = 10338020754012. Its totient is φ = 1680446080000.

The previous prime is 4201115299973. The next prime is 4201115300027. The reversal of 4201115300000 is 35111024.

It is an interprime number because it is at equal distance from previous prime (4201115299973) and next prime (4201115300027).

It can be written as a sum of positive squares in 6 ways, for example, as 1363467240976 + 2837648059024 = 1167676^2 + 1684532^2 .

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 11 ways as a sum of consecutive naturals, for example, 20905577 + ... + 21105576.

Almost surely, 24201115300000 is an apocalyptic number.

4201115300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201115300000 is an abundant number, since it is smaller than the sum of its proper divisors (6136905454012).

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

4201115300000 is an frugal number, since it uses more digits than its factorization.

4201115300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42011188 (or 42011160 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The spelling of 4201115300000 in words is "four trillion, two hundred one billion, one hundred fifteen million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 42011153 84022306 168044612 210055765 336089224 420111530 672178448 840223060 1050278825 1344356896 1680446120 2100557650 3360892240 4201115300 5251394125 6721784480 8402230600 10502788250 16804461200 21005576500 26256970625 33608922400 42011153000 52513941250 84022306000 105027882500 131284853125 168044612000 210055765000 262569706250 420111530000 525139412500 840223060000 1050278825000 2100557650000 4201115300000