Search a number
-
+
432000140020 = 22537583783973
BaseRepresentation
bin1100100100101010011…
…01110000001011110100
31112022001211110220122221
412102111031300023310
524034214013440040
6530242542132124
743132236413611
oct6222515601364
91468054426587
10432000140020
111572348a9209
126b883b81044
13319781c9437
1416ca2101508
15b385e1174a
hex64953702f4

432000140020 has 24 divisors (see below), whose sum is σ = 931719222504. Its totient is φ = 168129783936.

The previous prime is 432000140003. The next prime is 432000140023. The reversal of 432000140020 is 20041000234.

It can be written as a sum of positive squares in 4 ways, for example, as 91903560336 + 340096579684 = 303156^2 + 583178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 432000139976 and 432000140003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432000140023) 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, 291891247 + ... + 291892726.

It is an arithmetic number, because the mean of its divisors is an integer number (38821634271).

Almost surely, 2432000140020 is an apocalyptic number.

It is an amenable number.

432000140020 is an abundant number, since it is smaller than the sum of its proper divisors (499719082484).

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

432000140020 is a wasteful number, since it uses less digits than its factorization.

432000140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583784019 (or 583784017 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 432000140020 its reverse (20041000234), we get a palindrome (452041140254).

The spelling of 432000140020 in words is "four hundred thirty-two billion, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 583783973 1167567946 2335135892 2918919865 5837839730 11675679460 21600007001 43200014002 86400028004 108000035005 216000070010 432000140020