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3142074287352 = 2337211131733803
BaseRepresentation
bin101101101110010010001…
…110001100010011111000
3102010101020120002212111210
4231232102032030103320
5402434432004143402
610403240552323120
7443002346526300
oct55562216142370
912111216085453
103142074287352
111001601026690
12428b563a34a0
1319a3b1079360
14ac111bda600
1556aec5ee06c
hex2db9238c4f8

3142074287352 has 768 divisors, whose sum is σ = 11408968972800. Its totient is φ = 708843663360.

The previous prime is 3142074287311. The next prime is 3142074287483. The reversal of 3142074287352 is 2537824702413.

3142074287352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 826207483 + ... + 826211285.

It is an arithmetic number, because the mean of its divisors is an integer number (14855428350).

Almost surely, 23142074287352 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 3142074287352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704484486400).

3142074287352 is an abundant number, since it is smaller than the sum of its proper divisors (8266894685448).

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

3142074287352 is a wasteful number, since it uses less digits than its factorization.

3142074287352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

Adding to 3142074287352 its reverse (2537824702413), we get a palindrome (5679898989765).

The spelling of 3142074287352 in words is "three trillion, one hundred forty-two billion, seventy-four million, two hundred eighty-seven thousand, three hundred fifty-two".