Search a number
-
+
1310999504000 = 275381937469
BaseRepresentation
bin10011000100111101101…
…010001110010010000000
311122022220210212011002012
4103010331222032102000
5132434411333112000
62442133113112052
7163500534630224
oct23047552162200
94568823764065
101310999504000
11465aa005136a
121920b70b8628
139681bbaa0a4
144764a36a784
152417e917735
hex1313da8e480

1310999504000 has 64 divisors (see below), whose sum is σ = 3259472556600. Its totient is φ = 524399795200.

The previous prime is 1310999503981. The next prime is 1310999504039. The reversal of 1310999504000 is 4059990131.

It can be written as a sum of positive squares in 4 ways, for example, as 860694085696 + 450305418304 = 927736^2 + 671048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40952735 + ... + 40984734.

Almost surely, 21310999504000 is an apocalyptic number.

1310999504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310999504000 is an abundant number, since it is smaller than the sum of its proper divisors (1948473052600).

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

1310999504000 is an frugal number, since it uses more digits than its factorization.

1310999504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81937498 (or 81937476 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 41.

The spelling of 1310999504000 in words is "one trillion, three hundred ten billion, nine hundred ninety-nine million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 81937469 163874938 327749876 409687345 655499752 819374690 1310999504 1638749380 2048436725 2621999008 3277498760 4096873450 5243998016 6554997520 8193746900 10242183625 10487996032 13109995040 16387493800 20484367250 26219990080 32774987600 40968734500 52439980160 65549975200 81937469000 131099950400 163874938000 262199900800 327749876000 655499752000 1310999504000