Search a number
-
+
1344610655500 = 22537443867211
BaseRepresentation
bin10011100100010001000…
…010100101110100001100
311202112200020011120001011
4103210101002211310030
5134012230311434000
62505412224455004
7166100463664450
oct23442102456414
94675606146034
101344610655500
1147927872aa22
1219871747a464
1399a47458008
1449118228660
1524e9a5a72ba
hex139110a5d0c

1344610655500 has 96 divisors (see below), whose sum is σ = 3363728030208. Its totient is φ = 459968184000.

The previous prime is 1344610655471. The next prime is 1344610655503. The reversal of 1344610655500 is 55560164431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1344610655503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116895 + ... + 1984105.

It is an arithmetic number, because the mean of its divisors is an integer number (35038833648).

Almost surely, 21344610655500 is an apocalyptic number.

1344610655500 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 1344610655500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681864015104).

1344610655500 is an abundant number, since it is smaller than the sum of its proper divisors (2019117374708).

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

1344610655500 is a wasteful number, since it uses less digits than its factorization.

1344610655500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867680 (or 867668 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 1344610655500 in words is "one trillion, three hundred forty-four billion, six hundred ten million, six hundred fifty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 443 500 700 875 886 1750 1772 2215 3101 3500 4430 6202 8860 11075 12404 15505 22150 31010 44300 55375 62020 77525 110750 155050 221500 310100 387625 775250 867211 1550500 1734422 3468844 4336055 6070477 8672110 12140954 17344220 21680275 24281908 30352385 43360550 60704770 86721100 108401375 121409540 151761925 216802750 303523850 384174473 433605500 607047700 758809625 768348946 1517619250 1536697892 1920872365 2689221311 3035238500 3841744730 5378442622 7683489460 9604361825 10756885244 13446106555 19208723650 26892213110 38417447300 48021809125 53784426220 67230532775 96043618250 134461065550 192087236500 268922131100 336152663875 672305327750 1344610655500