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3142321500420 = 22325611621176549
BaseRepresentation
bin101101101110100000111…
…101001111000100000100
3102010101212210021121002100
4231232200331033010010
5402440433301003140
610403321303112100
7443011441023144
oct55564075170404
912111783247070
103142321500420
111001718626503
12429005142630
1319a42035438b
14ac13698c924
1556b14182530
hex2dba0f4f104

3142321500420 has 144 divisors (see below), whose sum is σ = 9693997513200. Its totient is φ = 823702348800.

The previous prime is 3142321500401. The next prime is 3142321500433. The reversal of 3142321500420 is 240051232413.

3142321500420 is a `hidden beast` number, since 3 + 1 + 4 + 23 + 215 + 0 + 0 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 220621847616 + 2921699652804 = 469704^2 + 1709298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17710306 + ... + 17886854.

It is an arithmetic number, because the mean of its divisors is an integer number (67319427175).

Almost surely, 23142321500420 is an apocalyptic number.

3142321500420 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 3142321500420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846998756600).

3142321500420 is an abundant number, since it is smaller than the sum of its proper divisors (6551676012780).

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

3142321500420 is a wasteful number, since it uses less digits than its factorization.

3142321500420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178246 (or 178241 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3142321500420 its reverse (240051232413), we get a palindrome (3382372732833).

The spelling of 3142321500420 in words is "three trillion, one hundred forty-two billion, three hundred twenty-one million, five hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1621 1830 2196 2745 3242 3660 4863 5490 6484 8105 9726 10980 14589 16210 19452 24315 29178 32420 48630 58356 72945 97260 98881 145890 176549 197762 291780 296643 353098 395524 494405 529647 593286 706196 882745 889929 988810 1059294 1186572 1483215 1588941 1765490 1779858 1977620 2118588 2648235 2966430 3177882 3530980 3559716 4449645 5296470 5932860 6355764 7944705 8899290 10592940 10769489 15889410 17798580 21538978 31778820 32308467 43077956 53847445 64616934 96925401 107694890 129233868 161542335 193850802 215389780 286185929 323084670 387701604 484627005 572371858 646169340 858557787 969254010 1144743716 1430929645 1717115574 1938508020 2575673361 2861859290 3434231148 4292788935 5151346722 5723718580 8585577870 10302693444 12878366805 17171155740 17457341669 25756733610 34914683338 51513467220 52372025007 69829366676 87286708345 104744050014 157116075021 174573416690 209488100028 261860125035 314232150042 349146833380 523720250070 628464300084 785580375105 1047440500140 1571160750210 3142321500420