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1344153303400 = 235228612349097
BaseRepresentation
bin10011100011110101110…
…001111011100101101000
311202111111100120122220111
4103203311301323211220
5134010311221202100
62505255010104104
7166053241364425
oct23436561734550
94674440518814
101344153303400
11479063552586
1219860a27b034
13999a3785a7b
14490b35b4d4c
1524e703656ba
hex138f5c7b968

1344153303400 has 48 divisors (see below), whose sum is σ = 3126250091340. Its totient is φ = 537473164800.

The previous prime is 1344153303391. The next prime is 1344153303421. The reversal of 1344153303400 is 43033514431.

It can be written as a sum of positive squares in 6 ways, for example, as 418782413956 + 925370889444 = 647134^2 + 961962^2 .

It is a super-2 number, since 2×13441533034002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602349 + ... + 1746748.

Almost surely, 21344153303400 is an apocalyptic number.

1344153303400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344153303400 is an abundant number, since it is smaller than the sum of its proper divisors (1782096787940).

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

1344153303400 is a wasteful number, since it uses less digits than its factorization.

1344153303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351974 (or 2351965 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 1344153303400 its reverse (43033514431), we get a palindrome (1387186817831).

The spelling of 1344153303400 in words is "one trillion, three hundred forty-four billion, one hundred fifty-three million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2861 5722 11444 14305 22888 28610 57220 71525 114440 143050 286100 572200 2349097 4698194 9396388 11745485 18792776 23490970 46981940 58727425 93963880 117454850 234909700 469819400 6720766517 13441533034 26883066068 33603832585 53766132136 67207665170 134415330340 168019162925 268830660680 336038325850 672076651700 1344153303400