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1343441544100 = 225283200380809
BaseRepresentation
bin10011100011001011010…
…110110010001110100100
311202102122202021112200221
4103203023112302032210
5134002332013402400
62505100222414124
7166026506465425
oct23431326621644
94672582245627
101343441544100
11478828801257
1219844ba31344
13998bc18a116
1449046c5964c
1524e2cb1dc1a
hex138cb5b23a4

1343441544100 has 72 divisors (see below), whose sum is σ = 2951901378720. Its totient is φ = 530630580480.

The previous prime is 1343441544059. The next prime is 1343441544103. The reversal of 1343441544100 is 14451443431.

It is a super-3 number, since 3×13434415441003 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1343441544103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16584496 + ... + 16665304.

It is an arithmetic number, because the mean of its divisors is an integer number (40998630260).

Almost surely, 21343441544100 is an apocalyptic number.

1343441544100 is a gapful number since it is divisible by the number (10) 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 1343441544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475950689360).

1343441544100 is an abundant number, since it is smaller than the sum of its proper divisors (1608459834620).

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

1343441544100 is a wasteful number, since it uses less digits than its factorization.

1343441544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82909 (or 82902 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 1343441544100 its reverse (14451443431), we get a palindrome (1357892987531).

The spelling of 1343441544100 in words is "one trillion, three hundred forty-three billion, four hundred forty-one million, five hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2003 2075 4006 4150 8012 8300 10015 20030 40060 50075 80809 100150 161618 166249 200300 323236 332498 404045 664996 808090 831245 1616180 1662490 2020225 3324980 4040450 4156225 6707147 8080900 8312450 13414294 16624900 26828588 33535735 67071470 134142940 161860427 167678675 323720854 335357350 647441708 670714700 809302135 1618604270 3237208540 4046510675 8093021350 13434415441 16186042700 26868830882 53737661764 67172077205 134344154410 268688308820 335860386025 671720772050 1343441544100