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1340400040532 = 2272157277157253
BaseRepresentation
bin10011100000010110000…
…100010111101001010100
311202010210210011011011122
4103200112010113221110
5133430114402244112
62503434332423112
7165561235233200
oct23402604275124
94663723134148
101340400040532
11477507973643
12197941317a98
1399526003877
1448c38d2bb00
1524d00acc872
hex13816117a54

1340400040532 has 72 divisors (see below), whose sum is σ = 2755982653704. Its totient is φ = 568733937408.

The previous prime is 1340400040531. The next prime is 1340400040579. The reversal of 1340400040532 is 2350400040431.

It can be written as a sum of positive squares in 4 ways, for example, as 55523381956 + 1284876658576 = 235634^2 + 1133524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340400040531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8445218 + ... + 8602470.

It is an arithmetic number, because the mean of its divisors is an integer number (38277536857).

Almost surely, 21340400040532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340400040532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377991326852).

1340400040532 is an abundant number, since it is smaller than the sum of its proper divisors (1415582613172).

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

1340400040532 is a wasteful number, since it uses less digits than its factorization.

1340400040532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157705 (or 157696 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 1340400040532 its reverse (2350400040431), we get a palindrome (3690800080963).

The spelling of 1340400040532 in words is "one trillion, three hundred forty billion, four hundred million, forty thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 157 196 277 314 554 628 1099 1108 1939 2198 3878 4396 7693 7756 13573 15386 27146 30772 43489 54292 86978 157253 173956 304423 314506 608846 629012 1100771 1217692 2130961 2201542 4261922 4403084 7705397 8523844 15410794 24688721 30821588 43559081 49377442 87118162 98754884 172821047 174236324 304913567 345642094 609827134 691284188 1209747329 1219654268 2134394969 2419494658 4268789938 4838989316 6838775717 8537579876 13677551434 27355102868 47871430019 95742860038 191485720076 335100010133 670200020266 1340400040532