Search a number
-
+
1311455430544 = 24723509105369
BaseRepresentation
bin10011000101011000110…
…101011100011110010000
311122101002120202121201111
4103011120311130132100
5132441330042234134
62442250241143104
7163515042142150
oct23053065343620
94571076677644
101311455430544
11466204445766
1219220392aa94
13968924a04cc
1447690b2c760
15241a9976c64
hex13158d5c790

1311455430544 has 40 divisors (see below), whose sum is σ = 3030195162240. Its totient is φ = 537615268608.

The previous prime is 1311455430541. The next prime is 1311455430569. The reversal of 1311455430544 is 4450345541131.

It is a junction number, because it is equal to n+sod(n) for n = 1311455430497 and 1311455430506.

It is not an unprimeable number, because it can be changed into a prime (1311455430541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254550109 + ... + 254555260.

It is an arithmetic number, because the mean of its divisors is an integer number (75754879056).

Almost surely, 21311455430544 is an apocalyptic number.

1311455430544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311455430544 is an abundant number, since it is smaller than the sum of its proper divisors (1718739731696).

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

1311455430544 is a wasteful number, since it uses less digits than its factorization.

1311455430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509105407 (or 509105401 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 1311455430544 in words is "one trillion, three hundred eleven billion, four hundred fifty-five million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 509105369 1018210738 2036421476 3563737583 4072842952 7127475166 8145685904 11709423487 14254950332 23418846974 28509900664 46837693948 57019801328 81965964409 93675387896 163931928818 187350775792 327863857636 655727715272 1311455430544