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263141222256 = 2432111274672801
BaseRepresentation
bin1111010100010001110…
…0000110011101110000
3221011012202122010002200
43311010130012131300
513302403123103011
6320515125343200
725003612325043
oct3650434063560
9834182563080
10263141222256
11a16633a6010
1242bb9567b00
131ba777a8353
14ca43c1cc5a
156ca1864856
hex3d44706770

263141222256 has 240 divisors, whose sum is σ = 811727474688. Its totient is φ = 78914304000.

The previous prime is 263141222189. The next prime is 263141222339. The reversal of 263141222256 is 652222141362.

263141222256 is a `hidden beast` number, since 2 + 631 + 4 + 12 + 2 + 2 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 263141222256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93944056 + ... + 93946856.

Almost surely, 2263141222256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263141222256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405863737344).

263141222256 is an abundant number, since it is smaller than the sum of its proper divisors (548586252432).

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

263141222256 is a wasteful number, since it uses less digits than its factorization.

263141222256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3411 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 263141222256 in words is "two hundred sixty-three billion, one hundred forty-one million, two hundred twenty-two thousand, two hundred fifty-six".