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1120000400344 = 23747443960569
BaseRepresentation
bin10000010011000101001…
…110011101101111011000
310222001220202100101011001
4100103011032131233120
5121322230100302334
62214304315314344
7143626440216430
oct20230516355730
93861822311131
101120000400344
113a1a98033881
12161091a4b9b4
13818005931a7
143c2cb8552c0
151e20179a714
hex104c539dbd8

1120000400344 has 64 divisors (see below), whose sum is σ = 2456600140800. Its totient is φ = 468726445824.

The previous prime is 1120000400257. The next prime is 1120000400357. The reversal of 1120000400344 is 4430040000211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685692 + ... + 1646260.

It is an arithmetic number, because the mean of its divisors is an integer number (38384377200).

Almost surely, 21120000400344 is an apocalyptic number.

1120000400344 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 1120000400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228300070400).

1120000400344 is an abundant number, since it is smaller than the sum of its proper divisors (1336599740456).

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

1120000400344 is a wasteful number, since it uses less digits than its factorization.

1120000400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961072 (or 961068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1120000400344 its reverse (4430040000211), we get a palindrome (5550040400555).

The spelling of 1120000400344 in words is "one trillion, one hundred twenty billion, four hundred thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 443 658 886 1316 1772 2632 3101 3544 6202 12404 20821 24808 41642 83284 145747 166568 291494 582988 960569 1165976 1921138 3842276 6723983 7684552 13447966 26895932 45146743 53791864 90293486 180586972 316027201 361173944 425532067 632054402 851064134 1264108804 1702128268 2528217608 2978724469 3404256536 5957448938 11914897876 20000007149 23829795752 40000014298 80000028596 140000050043 160000057192 280000100086 560000200172 1120000400344