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1144304400040 = 23528607610001
BaseRepresentation
bin10000101001101101110…
…110110111011010101000
311001101122112121111000221
4100221231312313122220
5122222013411300130
62233404114335424
7145446633625414
oct20515566673250
94041575544027
101144304400040
1140132a00253a
1216593528a574
1383ba485a9b9
143d5555c5d44
151eb752da87a
hex10a6ddb76a8

1144304400040 has 16 divisors (see below), whose sum is σ = 2574684900180. Its totient is φ = 457721760000.

The previous prime is 1144304400023. The next prime is 1144304400067. The reversal of 1144304400040 is 400044034411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1105563925764 + 38740474276 = 1051458^2 + 196826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1144304399978 and 1144304400014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14303804961 + ... + 14303805040.

Almost surely, 21144304400040 is an apocalyptic number.

1144304400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144304400040 is an abundant number, since it is smaller than the sum of its proper divisors (1430380500140).

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

1144304400040 is a wasteful number, since it uses less digits than its factorization.

1144304400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28607610012 (or 28607610008 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1144304400040 its reverse (400044034411), we get a palindrome (1544348434451).

The spelling of 1144304400040 in words is "one trillion, one hundred forty-four billion, three hundred four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 28607610001 57215220002 114430440004 143038050005 228860880008 286076100010 572152200020 1144304400040