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378855046143 = 327131191240341
BaseRepresentation
bin1011000001101011000…
…01010011101111111111
31100012220001121102022200
411200311201103233333
522201343342434033
6450013230242543
736241244521140
oct5406541235777
91305801542280
10378855046143
11136742884622
1261511956453
13299589a3422
141449dbd9ac7
159cc53b7013
hex5835853bff

378855046143 has 48 divisors (see below), whose sum is σ = 633487675392. Its totient is φ = 213710328000.

The previous prime is 378855046117. The next prime is 378855046153. The reversal of 378855046143 is 341640558873.

378855046143 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 550 + 46 + 1 + 43 = 666.

It is not a de Polignac number, because 378855046143 - 212 = 378855042047 is a prime.

It is a super-2 number, since 2×3788550461432 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378855046143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378855046153) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1456153 + ... + 1696493.

It is an arithmetic number, because the mean of its divisors is an integer number (13197659904).

Almost surely, 2378855046143 is an apocalyptic number.

378855046143 is a deficient number, since it is larger than the sum of its proper divisors (254632629249).

378855046143 is a wasteful number, since it uses less digits than its factorization.

378855046143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240676 (or 240673 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 378855046143 in words is "three hundred seventy-eight billion, eight hundred fifty-five million, forty-six thousand, one hundred forty-three".

Divisors: 1 3 7 9 21 63 131 191 393 573 917 1179 1337 1719 2751 4011 8253 12033 25021 75063 175147 225189 240341 525441 721023 1576323 1682387 2163069 5047161 15141483 31484671 45905131 94454013 137715393 220392697 283362039 321335917 413146179 661178091 964007751 1983534273 2892023253 6013572161 18040716483 42095005127 54122149449 126285015381 378855046143