Search a number
-
+
401144460445452 = 22347268712202439
BaseRepresentation
bin101101100110101101011100…
…1000100011000011100001100
31221121100000222011111112020110
41123031122321010120130030
5410034322323333223302
63541055115430120020
7150331505454126663
oct13315327104303414
91847300864445213
10401144460445452
111068a945711a389
1238ba85981b0010
13142aa9b65131c9
14710b6d184ddda
153159a4be8eb6c
hex16cd6b911870c

401144460445452 has 72 divisors (see below), whose sum is σ = 956482056705280. Its totient is φ = 130850717870880.

The previous prime is 401144460445349. The next prime is 401144460445459. The reversal of 401144460445452 is 254544064441104.

It is not an unprimeable number, because it can be changed into a prime (401144460445459) 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 23 ways as a sum of consecutive naturals, for example, 181035249 + ... + 183237687.

Almost surely, 2401144460445452 is an apocalyptic number.

It is an amenable number.

401144460445452 is an abundant number, since it is smaller than the sum of its proper divisors (555337596259828).

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

401144460445452 is a wasteful number, since it uses less digits than its factorization.

401144460445452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209411 (or 2209362 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 48.

The spelling of 401144460445452 in words is "four hundred one trillion, one hundred forty-four billion, four hundred sixty million, four hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 2209 4418 6627 6871 8836 13254 13742 20613 26508 27484 41226 82452 322937 645874 968811 1291748 1937622 2202439 3875244 4404878 6607317 8809756 13214634 15178039 26429268 30356078 45534117 60712156 91068234 103514633 182136468 207029266 310543899 414058532 621087798 1242175596 4865187751 9730375502 14595563253 15132958369 19460751004 29191126506 30265916738 45398875107 58382253012 60531833476 90797750214 181595500428 711249043343 1422498086686 2133747130029 2844996173372 4267494260058 8534988520116 33428705037121 66857410074242 100286115111363 133714820148484 200572230222726 401144460445452