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419492140376 = 231923521230311
BaseRepresentation
bin1100001101010111010…
…11100001010101011000
31111002210010110200210212
412012223223201111120
523333104441443001
6520413444230252
742210256234421
oct6065353412530
91432703420725
10419492140376
111519a6416a21
126937309b388
1330733a3b60a
1416436c48648
15ada2c977bb
hex61abae1558

419492140376 has 64 divisors (see below), whose sum is σ = 865604620800. Its totient is φ = 189701740800.

The previous prime is 419492140373. The next prime is 419492140391. The reversal of 419492140376 is 673041294914.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419492140373) 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 15 ways as a sum of consecutive naturals, for example, 1706261 + ... + 1936571.

It is an arithmetic number, because the mean of its divisors is an integer number (13525072200).

Almost surely, 2419492140376 is an apocalyptic number.

419492140376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

419492140376 is an abundant number, since it is smaller than the sum of its proper divisors (446112480424).

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

419492140376 is a wasteful number, since it uses less digits than its factorization.

419492140376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230880 (or 230876 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 419492140376 in words is "four hundred nineteen billion, four hundred ninety-two million, one hundred forty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 437 521 874 1042 1748 2084 3496 4168 9899 11983 19798 23966 39596 47932 79192 95864 227677 230311 455354 460622 910708 921244 1821416 1842488 4375909 5297153 8751818 10594306 17503636 21188612 35007272 42377224 100645907 119992031 201291814 239984062 402583628 479968124 805167256 959936248 2279848589 2759816713 4559697178 5519633426 9119394356 11039266852 18238788712 22078533704 52436517547 104873035094 209746070188 419492140376