Search a number
-
+
420433141334024 = 23713577518051283
BaseRepresentation
bin101111110011000011011100…
…0000010101000000000001000
32001010122000102111120012100002
41133212012320002220000020
5420101334033140142044
64050104152503102132
7154362202115364320
oct13746067002500010
92033560374505302
10420433141334024
11111a6576a682885
123b1a2914441948
13150798a12a2a30
1475b710338a280
15339166e19774e
hex17e61b80a8008

420433141334024 has 32 divisors (see below), whose sum is σ = 970230326157120. Its totient is φ = 166325198769216.

The previous prime is 420433141334023. The next prime is 420433141334027.

420433141334024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (420433141334023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288759024914 + ... + 288759026369.

It is an arithmetic number, because the mean of its divisors is an integer number (30319697692410).

Almost surely, 2420433141334024 is an apocalyptic number.

It is an amenable number.

420433141334024 is an abundant number, since it is smaller than the sum of its proper divisors (549797184823096).

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

420433141334024 is a wasteful number, since it uses less digits than its factorization.

420433141334024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577518051309 (or 577518051305 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 420433141334024 in words is "four hundred twenty trillion, four hundred thirty-three billion, one hundred forty-one million, three hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 577518051283 1155036102566 2310072205132 4042626358981 4620144410264 7507734666679 8085252717962 15015469333358 16170505435924 30030938666716 32341010871848 52554142666753 60061877333432 105108285333506 210216570667012 420433141334024