Search a number
-
+
420340420423000 = 235372117310682909
BaseRepresentation
bin101111110010011000010000…
…1011100011010110101011000
32001010022011002121210212222101
41133210300201130122311120
5420043324140112014000
64045553420124133144
7154352410316552500
oct13744604134326530
92033264077725871
10420340420423000
11111a2a40a092aa0
123b1889583971b4
1315070c1585503c
1475b2828d74a00
15338e044004e6a
hex17e4c2171ad58

420340420423000 has 384 divisors, whose sum is σ = 1265299243790400. Its totient is φ = 129220455168000.

The previous prime is 420340420422911. The next prime is 420340420423037. The reversal of 420340420423000 is 324024043024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 420340420423000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34005546 + ... + 44688454.

Almost surely, 2420340420423000 is an apocalyptic number.

420340420423000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420340420423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632649621895200).

420340420423000 is an abundant number, since it is smaller than the sum of its proper divisors (844958823367400).

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

420340420423000 is a wasteful number, since it uses less digits than its factorization.

420340420423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683028 (or 10683007 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 420340420423000 its reverse (324024043024), we get a palindrome (420664444466024).

The spelling of 420340420423000 in words is "four hundred twenty trillion, three hundred forty billion, four hundred twenty million, four hundred twenty-three thousand".