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5303083448340 = 22325234193733343
BaseRepresentation
bin100110100101011100001…
…1001111011100000010100
3200202222012000002120002200
41031022320121323200110
51143341203330321330
615140111454404500
71055064231365016
oct115127031734024
920688160076080
105303083448340
1117650303a0177
12717933b00730
132c6103974202
141449562141b6
1592e2a959a60
hex4d2b867b814

5303083448340 has 288 divisors, whose sum is σ = 17213679415296. Its totient is φ = 1318230650880.

The previous prime is 5303083448329. The next prime is 5303083448407. The reversal of 5303083448340 is 438443803035.

5303083448340 is a `hidden beast` number, since 53 + 0 + 3 + 0 + 83 + 4 + 483 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159029709 + ... + 159063051.

It is an arithmetic number, because the mean of its divisors is an integer number (59769720192).

Almost surely, 25303083448340 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 5303083448340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606839707648).

5303083448340 is an abundant number, since it is smaller than the sum of its proper divisors (11910595966956).

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

5303083448340 is a wasteful number, since it uses less digits than its factorization.

5303083448340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34359 (or 34354 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 5303083448340 in words is "five trillion, three hundred three billion, eighty-three million, four hundred forty-eight thousand, three hundred forty".