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3142203414400 = 27523301297467
BaseRepresentation
bin101101101110011001111…
…010110001011110000000
3102010101120120002012112001
4231232121322301132000
5402440213033230100
610403301444113344
7443005505223061
oct55563172613600
912111516065461
103142203414400
111001667a01756
12428b91695854
1319a401a4a6ab
14ac125010568
1556b08b08d6a
hex2db99eb1780

3142203414400 has 96 divisors (see below), whose sum is σ = 7764601951080. Its totient is φ = 1256496384000.

The previous prime is 3142203414373. The next prime is 3142203414509. The reversal of 3142203414400 is 44143022413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10414467 + ... + 10711933.

Almost surely, 23142203414400 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 3142203414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882300975540).

3142203414400 is an abundant number, since it is smaller than the sum of its proper divisors (4622398536680).

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

3142203414400 is a wasteful number, since it uses less digits than its factorization.

3142203414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300792 (or 300775 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3142203414400 its reverse (44143022413), we get a palindrome (3186346436813).

The spelling of 3142203414400 in words is "three trillion, one hundred forty-two billion, two hundred three million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3301 6602 13204 16505 26408 33010 52816 66020 82525 105632 132040 165050 211264 264080 297467 330100 422528 528160 594934 660200 1056320 1189868 1320400 1487335 2112640 2379736 2640800 2974670 4759472 5281600 5949340 7436675 9518944 10563200 11898680 14873350 19037888 23797360 29746700 38075776 47594720 59493400 95189440 118986800 190378880 237973600 475947200 951894400 981938567 1963877134 3927754268 4909692835 7855508536 9819385670 15711017072 19638771340 24548464175 31422034144 39277542680 49096928350 62844068288 78555085360 98193856700 125688136576 157110170720 196387713400 314220341440 392775426800 628440682880 785550853600 1571101707200 3142203414400