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141200442030300 = 223523133001501077
BaseRepresentation
bin100000000110101111001010…
…001100000111100011011100
3200111221122000120201010011020
4200012233022030013203130
5122001412001124432200
61220150330525524140
741512252404136152
oct4006571214074334
9614848016633136
10141200442030300
1140a99853490234
1213a05712413650
1360a31b57646a3
1426c21d03db3d2
15114ce32dddea0
hex806bca3078dc

141200442030300 has 144 divisors (see below), whose sum is σ = 409982572790112. Its totient is φ = 37520570880000.

The previous prime is 141200442030229. The next prime is 141200442030313. The reversal of 141200442030300 is 3030244002141.

It is a super-2 number, since 2×1412004420303002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 281543362 + ... + 282044438.

Almost surely, 2141200442030300 is an apocalyptic number.

141200442030300 is a gapful number since it is divisible by the number (10) 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 141200442030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204991286395056).

141200442030300 is an abundant number, since it is smaller than the sum of its proper divisors (268782130759812).

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

141200442030300 is a wasteful number, since it uses less digits than its factorization.

141200442030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504408 (or 504401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 141200442030300 its reverse (3030244002141), we get a palindrome (144230686032441).

The spelling of 141200442030300 in words is "one hundred forty-one trillion, two hundred billion, four hundred forty-two million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 626 939 1252 1565 1878 3001 3130 3756 4695 6002 6260 7825 9003 9390 12004 15005 15650 18006 18780 23475 30010 31300 36012 45015 46950 60020 75025 90030 93900 150050 180060 225075 300100 450150 501077 900300 939313 1002154 1503231 1878626 2004308 2505385 2817939 3006462 3757252 4696565 5010770 5635878 6012924 7516155 9393130 10021540 11271756 12526925 14089695 15032310 18786260 23482825 25053850 28179390 30064620 37580775 46965650 50107700 56358780 70448475 75161550 93931300 140896950 150323100 156837101 281793900 313674202 470511303 627348404 784185505 941022606 1503732077 1568371010 1882045212 2352556515 3007464154 3136742020 3920927525 4511196231 4705113030 6014928308 7518660385 7841855050 9022392462 9410226060 11762782575 15037320770 15683710100 18044784924 22555981155 23525565150 30074641540 37593301925 45111962310 47051130300 75186603850 90223924620 112779905775 150373207700 225559811550 451119623100 470668140101 941336280202 1412004420303 1882672560404 2353340700505 2824008840606 4706681401010 5648017681212 7060022101515 9413362802020 11766703502525 14120044203030 23533407005050 28240088406060 35300110507575 47066814010100 70600221015150 141200442030300