Search a number
-
+
2401152240000 = 2735410004801
BaseRepresentation
bin100010111100001111110…
…100111000100110000000
322111112210102120002002110
4202330033310320212000
5303320024433140000
65035024001415320
7335322535166253
oct42741764704600
98445712502073
102401152240000
11846360929148
1232943903a540
13145573814217
1484305aad09a
15426d5b2a850
hex22f0fd38980

2401152240000 has 160 divisors (see below), whose sum is σ = 7970025369240. Its totient is φ = 640307200000.

The previous prime is 2401152239947. The next prime is 2401152240007. The reversal of 2401152240000 is 422511042.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401152240007) 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 19 ways as a sum of consecutive naturals, for example, 4762401 + ... + 5242400.

Almost surely, 22401152240000 is an apocalyptic number.

2401152240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401152240000 is an abundant number, since it is smaller than the sum of its proper divisors (5568873129240).

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

2401152240000 is an equidigital number, since it uses as much as digits as its factorization.

2401152240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004838 (or 10004811 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 2401152240000 its reverse (422511042), we get a palindrome (2401574751042).

The spelling of 2401152240000 in words is "two trillion, four hundred one billion, one hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 10004801 20009602 30014403 40019204 50024005 60028806 80038408 100048010 120057612 150072015 160076816 200096020 240115224 250120025 300144030 320153632 400192040 480230448 500240050 600288060 640307264 750360075 800384080 960460896 1000480100 1200576120 1250600125 1280614528 1500720150 1600768160 1920921792 2000960200 2401152240 2501200250 3001440300 3201536320 3751800375 3841843584 4001920400 4802304480 5002400500 6002880600 6253000625 6403072640 7503600750 8003840800 9604608960 10004801000 12005761200 12506001250 15007201500 16007681600 18759001875 19209217920 20009602000 24011522400 25012002500 30014403000 32015363200 37518003750 40019204000 48023044800 50024005000 60028806000 75036007500 80038408000 96046089600 100048010000 120057612000 150072015000 160076816000 200096020000 240115224000 300144030000 400192040000 480230448000 600288060000 800384080000 1200576120000 2401152240000