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4132022040 = 23325175312739
BaseRepresentation
bin1111011001001001…
…1010011100011000
3101122222010110122100
43312102122130120
531430244201130
61522003323400
7204252415326
oct36622323430
911588113570
104132022040
111830467353
12973980560
1350b097673
142b2abcd16
15192b52c60
hexf649a718

4132022040 has 192 divisors, whose sum is σ = 14488437600. Its totient is φ = 1017409536.

The previous prime is 4132022039. The next prime is 4132022047. The reversal of 4132022040 is 402202314.

4132022040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41320220402 = 34147212278091523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132022047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317991 + ... + 330729.

Almost surely, 24132022040 is an apocalyptic number.

4132022040 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 4132022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244218800).

4132022040 is an abundant number, since it is smaller than the sum of its proper divisors (10356415560).

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

4132022040 is a wasteful number, since it uses less digits than its factorization.

4132022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12826 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4132022040 is about 64280.8061554925. The cubic root of 4132022040 is about 1604.6766868483.

Adding to 4132022040 its reverse (402202314), we get a palindrome (4534224354).

The spelling of 4132022040 in words is "four billion, one hundred thirty-two million, twenty-two thousand, forty".