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32234125440 = 2735112935209
BaseRepresentation
bin11110000001010011…
…011011100010000000
310002012110012020022210
4132001103123202000
51012003414003230
622450321102120
72220535355046
oct360123334200
9102173166283
1032234125440
11127413615a0
1262b7187940
1330691b440a
1417bb04a396
15c89d36eb0
hex7814db880

32234125440 has 256 divisors, whose sum is σ = 112490985600. Its totient is φ = 7786168320.

The previous prime is 32234125439. The next prime is 32234125481. The reversal of 32234125440 is 4452143223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32234125398 and 32234125407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6185556 + ... + 6190764.

Almost surely, 232234125440 is an apocalyptic number.

32234125440 is a gapful number since it is divisible by the number (30) 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 32234125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56245492800).

32234125440 is an abundant number, since it is smaller than the sum of its proper divisors (80256860160).

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

32234125440 is a wasteful number, since it uses less digits than its factorization.

32234125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 32234125440 its reverse (4452143223), we get a palindrome (36686268663).

The spelling of 32234125440 in words is "thirty-two billion, two hundred thirty-four million, one hundred twenty-five thousand, four hundred forty".