Search a number
-
+
2310412405152 = 25336107666541
BaseRepresentation
bin100001100111101111010…
…011111000100110100000
322011212120121112212100110
4201213233103320212200
5300323211033431102
64525215552051320
7325631113261635
oct41475723704640
98155517485313
102310412405152
118109276301a5
12313934533b40
13139b42646257
147db7882818c
154017485d86c
hex219ef4f89a0

2310412405152 has 48 divisors (see below), whose sum is σ = 6065009631072. Its totient is φ = 770114983680.

The previous prime is 2310412405121. The next prime is 2310412405291. The reversal of 2310412405152 is 2515042140132.

2310412405152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23104124051522 (a number of 26 digits) contains 22 as substring.

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, 3133002 + ... + 3799542.

It is an arithmetic number, because the mean of its divisors is an integer number (126354367314).

Almost surely, 22310412405152 is an apocalyptic number.

It is an amenable number.

2310412405152 is an abundant number, since it is smaller than the sum of its proper divisors (3754597225920).

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

2310412405152 is a wasteful number, since it uses less digits than its factorization.

2310412405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702661 (or 702653 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2310412405152 its reverse (2515042140132), we get a palindrome (4825454545284).

The spelling of 2310412405152 in words is "two trillion, three hundred ten billion, four hundred twelve million, four hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 36107 72214 108321 144428 216642 288856 433284 577712 666541 866568 1155424 1333082 1733136 1999623 2666164 3466272 3999246 5332328 7998492 10664656 15996984 21329312 31993968 63987936 24066795887 48133591774 72200387661 96267183548 144400775322 192534367096 288801550644 385068734192 577603101288 770137468384 1155206202576 2310412405152