Search a number
-
+
146021122434 = 231131120173527
BaseRepresentation
bin1000011111111110001…
…0011000000110000010
3111221220110111120221210
42013333202120012002
54343022401404214
6151025311230550
713356353030055
oct2077742300602
9457813446853
10146021122434
1156a22131590
1224372218456
1310a01145035
1470d3178a9c
153be962cb59
hex21ff898182

146021122434 has 64 divisors (see below), whose sum is σ = 319865075712. Its totient is φ = 44072179200.

The previous prime is 146021122411. The next prime is 146021122439. The reversal of 146021122434 is 434221120641.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146021122439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41399179 + ... + 41402705.

It is an arithmetic number, because the mean of its divisors is an integer number (4997891808).

Almost surely, 2146021122434 is an apocalyptic number.

146021122434 is an abundant number, since it is smaller than the sum of its proper divisors (173843953278).

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

146021122434 is a wasteful number, since it uses less digits than its factorization.

146021122434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 146021122434 in words is "one hundred forty-six billion, twenty-one million, one hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 311 622 933 1866 2017 3421 3527 4034 6051 6842 7054 10263 10581 12102 20526 21162 22187 38797 44374 66561 77594 116391 133122 232782 627287 1096897 1254574 1881861 2193794 3290691 3763722 6581382 6900157 7113959 12065867 13800314 14227918 20700471 21341877 24131734 36197601 41400942 42683754 72395202 78253549 156507098 234760647 469521294 2212441249 4424882498 6637323747 13274647494 24336853739 48673707478 73010561217 146021122434