Search a number
-
+
2361316140416 = 2719970935913
BaseRepresentation
bin100010010111001001011…
…010001110010110000000
322100201222011220112200202
4202113021122032112000
5302141433412443131
65004435035504332
7332412421011242
oct42271132162600
98321864815622
102361316140416
118304794469a2
1232177bbb80a8
131418956b986c
14824071a8092
154165371bbcb
hex225c968e580

2361316140416 has 32 divisors (see below), whose sum is σ = 4951773161400. Its totient is φ = 1118518170624.

The previous prime is 2361316140409. The next prime is 2361316140479. The reversal of 2361316140416 is 6140416131632.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×23613161404162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 2361316140416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 485465525 + ... + 485470388.

Almost surely, 22361316140416 is an apocalyptic number.

It is an amenable number.

2361316140416 is an abundant number, since it is smaller than the sum of its proper divisors (2590457020984).

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

2361316140416 is an equidigital number, since it uses as much as digits as its factorization.

2361316140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970935946 (or 970935934 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 2361316140416 in words is "two trillion, three hundred sixty-one billion, three hundred sixteen million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 970935913 1941871826 3883743652 7767487304 15534974608 18447782347 31069949216 36895564694 62139898432 73791129388 124279796864 147582258776 295164517552 590329035104 1180658070208 2361316140416