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20232144432 = 2432140501003
BaseRepresentation
bin10010110101111011…
…100000011000110000
31221020000100102112200
4102311323200120300
5312413412110212
613143341023200
71314241250553
oct226573403060
957200312480
1020232144432
118642577625
123b07854b00
131ba5807cc6
14d9d07469a
157d63246dc
hex4b5ee0630

20232144432 has 30 divisors (see below), whose sum is σ = 56621904612. Its totient is φ = 6744048096.

The previous prime is 20232144391. The next prime is 20232144467. The reversal of 20232144432 is 23444123202.

20232144432 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 214 + 443 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20232144396 and 20232144405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70250358 + ... + 70250645.

Almost surely, 220232144432 is an apocalyptic number.

It is an amenable number.

20232144432 is an abundant number, since it is smaller than the sum of its proper divisors (36389760180).

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

20232144432 is a wasteful number, since it uses less digits than its factorization.

20232144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140501017 (or 140501008 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20232144432 its reverse (23444123202), we get a palindrome (43676267634).

It can be divided in two parts, 202321 and 44432, that added together give a triangular number (246753 = T702).

The spelling of 20232144432 in words is "twenty billion, two hundred thirty-two million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 140501003 281002006 421503009 562004012 843006018 1124008024 1264509027 1686012036 2248016048 2529018054 3372024072 5058036108 6744048144 10116072216 20232144432