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141201314313000 = 23353169012784871
BaseRepresentation
bin100000000110101111111110…
…001011100111001100101000
3200111221201021101001200001220
4200012233332023213030220
5122001420242431004000
61220150553245542040
741512313125334334
oct4006577613471450
9614851241050056
10141201314313000
1140a9a160901127
1213a05916574920
1360a32c43a50b6
1426c22741c07c4
15114ce847931a0
hex806bfe2e7328

141201314313000 has 128 divisors (see below), whose sum is σ = 440574325251840. Its totient is φ = 37651442400000.

The previous prime is 141201314312969. The next prime is 141201314313013. The reversal of 141201314313000 is 313413102141.

It is a happy number.

141201314313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1412013143130002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49310565 + ... + 52095435.

It is an arithmetic number, because the mean of its divisors is an integer number (3441986916030).

Almost surely, 2141201314313000 is an apocalyptic number.

141201314313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141201314313000 is an abundant number, since it is smaller than the sum of its proper divisors (299373010938840).

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

141201314313000 is a wasteful number, since it uses less digits than its factorization.

141201314313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801796 (or 2801782 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 141201314313000 its reverse (313413102141), we get a palindrome (141514727415141).

The spelling of 141201314313000 in words is "one hundred forty-one trillion, two hundred one billion, three hundred fourteen million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 16901 33802 50703 67604 84505 101406 135208 169010 202812 253515 338020 405624 422525 507030 676040 845050 1014060 1267575 1690100 2028120 2112625 2535150 2784871 3380200 4225250 5070300 5569742 6337875 8354613 8450500 10140600 11139484 12675750 13924355 16709226 16901000 22278968 25351500 27848710 33418452 41773065 50703000 55697420 66836904 69621775 83546130 111394840 139243550 167092260 208865325 278487100 334184520 348108875 417730650 556974200 696217750 835461300 1044326625 1392435500 1670922600 2088653250 2784871000 4177306500 8354613000 47067104771 94134209542 141201314313 188268419084 235335523855 282402628626 376536838168 470671047710 564805257252 706006571565 941342095420 1129610514504 1176677619275 1412013143130 1882684190840 2353355238550 2824026286260 3530032857825 4706710477100 5648052572520 5883388096375 7060065715650 9413420954200 11766776192750 14120131431300 17650164289125 23533552385500 28240262862600 35300328578250 47067104771000 70600657156500 141201314313000