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1241342144 = 2672839791
BaseRepresentation
bin100100111111101…
…0110000011000000
310012111210201021222
41021333112003000
510020240422034
6323102134212
742522143210
oct11177260300
93174721258
101241342144
115877837a9
122a7881368
1316a23aba3
14bac12240
1573ea512e
hex49fd60c0

1241342144 has 56 divisors (see below), whose sum is σ = 2825422848. Its totient is φ = 530069760.

The previous prime is 1241342099. The next prime is 1241342147. The reversal of 1241342144 is 4412431421.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1241342147) 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, 121889 + ... + 131679.

Almost surely, 21241342144 is an apocalyptic number.

1241342144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412711424).

1241342144 is an abundant number, since it is smaller than the sum of its proper divisors (1584080704).

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

1241342144 is an equidigital number, since it uses as much as digits as its factorization.

1241342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10083 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 1241342144 is about 35232.6857335628. The cubic root of 1241342144 is about 1074.7245427997.

Adding to 1241342144 its reverse (4412431421), we get a palindrome (5653773565).

The spelling of 1241342144 in words is "one billion, two hundred forty-one million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 283 448 566 1132 1981 2264 3962 4528 7924 9056 9791 15848 18112 19582 31696 39164 63392 68537 78328 126784 137074 156656 274148 313312 548296 626624 1096592 2193184 2770853 4386368 5541706 11083412 19395971 22166824 38791942 44333648 77583884 88667296 155167768 177334592 310335536 620671072 1241342144