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32253412431240 = 2332572111329440903
BaseRepresentation
bin1110101010101100101010…
…01100001101010110001000
311020012101200202201221012200
413111112111030031112020
513211414442040244430
6152333002500040200
76536142425125200
oct725262514152610
9136171622657180
1032253412431240
11a3056605221a0
12374ab16693060
1314cc639a1b690
147d7105933400
153adeba481460
hex1d559530d588

32253412431240 has 1152 divisors, whose sum is σ = 148195594310400. Its totient is φ = 5973128663040.

The previous prime is 32253412431221. The next prime is 32253412431257. The reversal of 32253412431240 is 4213421435223.

32253412431240 is a `hidden beast` number, since 3 + 2 + 25 + 341 + 24 + 31 + 240 = 666.

It is a super-2 number, since 2×322534124312402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32253412431195 and 32253412431204.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72932629 + ... + 73373531.

It is an arithmetic number, because the mean of its divisors is an integer number (128642008950).

Almost surely, 232253412431240 is an apocalyptic number.

32253412431240 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 32253412431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74097797155200).

32253412431240 is an abundant number, since it is smaller than the sum of its proper divisors (115942181879160).

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

32253412431240 is a wasteful number, since it uses less digits than its factorization.

32253412431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440987 (or 440973 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 32253412431240 its reverse (4213421435223), we get a palindrome (36466833866463).

The spelling of 32253412431240 in words is "thirty-two trillion, two hundred fifty-three billion, four hundred twelve million, four hundred thirty-one thousand, two hundred forty".