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2441200001140 = 225532303018869
BaseRepresentation
bin100011100001100010110…
…110111110000001110100
322122101011102111010120001
4203201202312332001310
5304444034200014030
65105245524121044
7341241132431335
oct43414266760164
98571142433501
102441200001140
118613418388aa
12335154b36184
13149286749ac4
148622475028c
154377b8e8cca
hex23862dbe074

2441200001140 has 24 divisors (see below), whose sum is σ = 5223246797160. Its totient is φ = 958055849088.

The previous prime is 2441200001099. The next prime is 2441200001159. The reversal of 2441200001140 is 411000021442.

It can be written as a sum of positive squares in 4 ways, for example, as 719446632804 + 1721753368336 = 848202^2 + 1312156^2 .

It is a super-3 number, since 3×24412000011403 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

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, 1151508375 + ... + 1151510494.

It is an arithmetic number, because the mean of its divisors is an integer number (217635283215).

Almost surely, 22441200001140 is an apocalyptic number.

2441200001140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2441200001140 is an abundant number, since it is smaller than the sum of its proper divisors (2782046796020).

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

2441200001140 is a wasteful number, since it uses less digits than its factorization.

2441200001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303018931 (or 2303018929 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2441200001140 its reverse (411000021442), we get a palindrome (2852200022582).

The spelling of 2441200001140 in words is "two trillion, four hundred forty-one billion, two hundred million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2303018869 4606037738 9212075476 11515094345 23030188690 46060377380 122060000057 244120000114 488240000228 610300000285 1220600000570 2441200001140