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1144134430440 = 233517560850211
BaseRepresentation
bin10000101001100011101…
…110011110111011101000
311001101012200210010120120
4100221203232132323220
5122221141403233230
62233335203323240
7145442501124261
oct20514356367350
94041180703516
101144134430440
114012520708a1
121658a8380520
1383b78589481
143d53abbd968
151eb65414310
hex10a63b9eee8

1144134430440 has 64 divisors (see below), whose sum is σ = 3634309373760. Its totient is φ = 287155307520.

The previous prime is 1144134430433. The next prime is 1144134430477. The reversal of 1144134430440 is 440344314411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280423066 + ... + 280427145.

It is an arithmetic number, because the mean of its divisors is an integer number (56786083965).

Almost surely, 21144134430440 is an apocalyptic number.

1144134430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144134430440 is an abundant number, since it is smaller than the sum of its proper divisors (2490174943320).

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

1144134430440 is a wasteful number, since it uses less digits than its factorization.

1144134430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560850242 (or 560850238 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1144134430440 its reverse (440344314411), we get a palindrome (1584478744851).

The spelling of 1144134430440 in words is "one trillion, one hundred forty-four billion, one hundred thirty-four million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 560850211 1121700422 1682550633 2243400844 2804251055 3365101266 4486801688 5608502110 6730202532 8412753165 9534453587 11217004220 13460405064 16825506330 19068907174 22434008440 28603360761 33651012660 38137814348 47672267935 57206721522 67302025320 76275628696 95344535870 114413443044 143016803805 190689071740 228826886088 286033607610 381378143480 572067215220 1144134430440