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352140641244 = 223473119325951
BaseRepresentation
bin1010001111111010011…
…01111100001111011100
31020122221021202001010000
411013331031330033130
521232141001004434
6425434324014300
734304242030560
oct5077515741734
91218837661100
10352140641244
11126384236847
12582b7231390
132728c218b52
1413087c9b6a0
15925ee47b99
hex51fd37c3dc

352140641244 has 240 divisors, whose sum is σ = 1091681468416. Its totient is φ = 96857856000.

The previous prime is 352140641159. The next prime is 352140641263. The reversal of 352140641244 is 442146041253.

352140641244 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 4 + 0 + 641 + 2 + 4 + 4 = 666.

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 = 352140641199 and 352140641208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13556469 + ... + 13582419.

Almost surely, 2352140641244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352140641244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545840734208).

352140641244 is an abundant number, since it is smaller than the sum of its proper divisors (739540827172).

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

352140641244 is a wasteful number, since it uses less digits than its factorization.

352140641244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26198 (or 26187 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 352140641244 its reverse (442146041253), we get a palindrome (794286682497).

The spelling of 352140641244 in words is "three hundred fifty-two billion, one hundred forty million, six hundred forty-one thousand, two hundred forty-four".