Search a number
-
+
1344030313444 = 2271367892512467
BaseRepresentation
bin10011100011101110011…
…100110000101111100100
311202111011210011010101221
4103203232130300233210
5134010033230012234
62505234454030124
7166050216111220
oct23435634605744
94674153133357
101344030313444
11479000089395
12198595048344
1399984152c50
14490a111b780
1524e6466deb4
hex138ee730be4

1344030313444 has 192 divisors, whose sum is σ = 2984098682880. Its totient is φ = 515611008000.

The previous prime is 1344030313429. The next prime is 1344030313463. The reversal of 1344030313444 is 4443130304431.

It is a super-2 number, since 2×13440303134442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544802299 + ... + 544804765.

It is an arithmetic number, because the mean of its divisors is an integer number (15542180640).

Almost surely, 21344030313444 is an apocalyptic number.

1344030313444 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 1344030313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492049341440).

1344030313444 is an abundant number, since it is smaller than the sum of its proper divisors (1640068369436).

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

1344030313444 is a wasteful number, since it uses less digits than its factorization.

1344030313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 1344030313444 its reverse (4443130304431), we get a palindrome (5787160617875).

The spelling of 1344030313444 in words is "one trillion, three hundred forty-four billion, thirty million, three hundred thirteen thousand, four hundred forty-four".