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1378141221249 = 3213431971390507
BaseRepresentation
bin10100000011011111100…
…111100011000110000001
311212202020000211210010200
4110003133213203012001
5140034413123034444
62533035341115413
7201365424046062
oct24033747430601
94782200753120
101378141221249
11491514878291
121a3114858b69
139cc5c0cc070
144a9b950a569
1525cae129969
hex140df9e3181

1378141221249 has 48 divisors (see below), whose sum is σ = 2204767236672. Its totient is φ = 824158468224.

The previous prime is 1378141221199. The next prime is 1378141221283. The reversal of 1378141221249 is 9421221418731.

1378141221249 is a `hidden beast` number, since 1 + 37 + 81 + 412 + 2 + 124 + 9 = 666.

It is not a de Polignac number, because 1378141221249 - 29 = 1378141220737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1378141226249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295854 + ... + 1686360.

It is an arithmetic number, because the mean of its divisors is an integer number (45932650764).

Almost surely, 21378141221249 is an apocalyptic number.

It is an amenable number.

1378141221249 is a deficient number, since it is larger than the sum of its proper divisors (826626015423).

1378141221249 is a wasteful number, since it uses less digits than its factorization.

1378141221249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390766 (or 1390763 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 1378141221249 in words is "one trillion, three hundred seventy-eight billion, one hundred forty-one million, two hundred twenty-one thousand, two hundred forty-nine".

Divisors: 1 3 9 13 39 43 117 129 197 387 559 591 1677 1773 2561 5031 7683 8471 23049 25413 76239 110123 330369 991107 1390507 4171521 12514563 18076591 54229773 59791801 162689319 179375403 273929879 538126209 777293413 821789637 2331880239 2465368911 3561088427 6995640717 10683265281 11778984797 32049795843 35336954391 106010863173 153126802361 459380407083 1378141221249