Search a number
-
+
1438351671969 = 3643210332
BaseRepresentation
bin10100111011100100011…
…100001100001010100001
312002111122012102121000000
4110323210130030022201
5142031221012000334
63020434124050213
7205626460325532
oct24734434141241
95074565377000
101438351671969
11505002026063
121b2919093969
13a58363322b4
144d88bd02689
152763509d299
hex14ee470c2a1

1438351671969 has 63 divisors (see below), whose sum is σ = 2209998825027. Its totient is φ = 935694408096.

The previous prime is 1438351671941. The next prime is 1438351672007. The reversal of 1438351671969 is 9691761538341.

It is a happy number.

The square root of 1438351671969 is 1199313.

It is a perfect power (a square), and thus also a powerful number.

1438351671969 is a `hidden beast` number, since 1 + 4 + 38 + 351 + 67 + 196 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1388661912225 + 49689759744 = 1178415^2 + 222912^2 .

It is not a de Polignac number, because 1438351671969 - 25 = 1438351671937 is a prime.

It is a super-2 number, since 2×14383516719692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1438351671919) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1392401877 + ... + 1392402909.

It is an arithmetic number, because the mean of its divisors is an integer number (35079346429).

Almost surely, 21438351671969 is an apocalyptic number.

1438351671969 is the 1199313-rd square number.

1438351671969 is the 599657-th centered octagonal number.

It is an amenable number.

1438351671969 is a deficient number, since it is larger than the sum of its proper divisors (771647153058).

1438351671969 is an frugal number, since it uses more digits than its factorization.

1438351671969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 1079 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 1438351671969 in words is "one trillion, four hundred thirty-eight billion, three hundred fifty-one million, six hundred seventy-one thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 43 81 129 243 387 729 1033 1161 1849 3099 3483 5547 9297 10449 16641 27891 31347 44419 49923 83673 133257 149769 251019 399771 449307 753057 1067089 1199313 1347921 1910017 3201267 3597939 5730051 9603801 10793817 17190153 28811403 32381451 45884827 51570459 86434209 137654481 154711377 259302627 412963443 464134131 777907881 1238890329 1392402393 1973047561 3716670987 5919142683 11150012961 17757428049 33450038883 53272284147 159816852441 479450557323 1438351671969