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2244510506141 = 171228910743757
BaseRepresentation
bin100000101010010111010…
…000000101110010011101
321221120110210111112011222
4200222113100011302131
5243233224142144031
64435040333423125
7321106030341401
oct40522720056235
97846423445158
102244510506141
11795989737052
1230300203aaa5
1313386c24a637
147a8c61c1101
153d5b8deee7b
hex20a97405c9d

2244510506141 has 8 divisors (see below), whose sum is σ = 2376734144760. Its totient is φ = 2112308379648.

The previous prime is 2244510506123. The next prime is 2244510506171. The reversal of 2244510506141 is 1416050154422.

It can be written as a sum of positive squares in 4 ways, for example, as 735728200516 + 1508782305625 = 857746^2 + 1228325^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2244510506141 - 210 = 2244510505117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244510506171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5162966 + ... + 5580791.

It is an arithmetic number, because the mean of its divisors is an integer number (297091768095).

Almost surely, 22244510506141 is an apocalyptic number.

It is an amenable number.

2244510506141 is a deficient number, since it is larger than the sum of its proper divisors (132223638619).

2244510506141 is a wasteful number, since it uses less digits than its factorization.

2244510506141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756063.

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 2244510506141 in words is "two trillion, two hundred forty-four billion, five hundred ten million, five hundred six thousand, one hundred forty-one".

Divisors: 1 17 12289 208913 10743757 182643869 132030029773 2244510506141