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141244450020 = 2232517103448139
BaseRepresentation
bin1000001110001011010…
…0110100010011100100
3111111120120100111020200
42003202310310103210
54303232034400040
6144515314430500
713130112005322
oct2034264642344
9444516314220
10141244450020
11549a089a933
122345a592430
131041c64a65b
146b9ca0cd12
153a1a0dc630
hex20e2d344e4

141244450020 has 144 divisors (see below), whose sum is σ = 458049271680. Its totient is φ = 35105338368.

The previous prime is 141244449991. The next prime is 141244450027. The reversal of 141244450020 is 20054442141.

141244450020 is a `hidden beast` number, since 14 + 124 + 4 + 4 + 500 + 20 = 666.

It is a super-2 number, since 2×1412444500202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141244450027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91111 + ... + 539249.

It is an arithmetic number, because the mean of its divisors is an integer number (3180897720).

Almost surely, 2141244450020 is an apocalyptic number.

141244450020 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 141244450020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229024635840).

141244450020 is an abundant number, since it is smaller than the sum of its proper divisors (316804821660).

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

141244450020 is a wasteful number, since it uses less digits than its factorization.

141244450020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448274 (or 448269 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 141244450020 its reverse (20054442141), we get a palindrome (161298892161).

The spelling of 141244450020 in words is "one hundred forty-one billion, two hundred forty-four million, four hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 103 153 170 180 204 206 255 306 309 340 412 510 515 612 618 765 927 1020 1030 1236 1530 1545 1751 1854 2060 3060 3090 3502 3708 4635 5253 6180 7004 8755 9270 10506 15759 17510 18540 21012 26265 31518 35020 52530 63036 78795 105060 157590 315180 448139 896278 1344417 1792556 2240695 2688834 4033251 4481390 5377668 6722085 7618363 8066502 8962780 13444170 15236726 16133004 20166255 22855089 26888340 30473452 38091815 40332510 45710178 46158317 68565267 76183630 80665020 91420356 92316634 114275445 137130534 138474951 152367260 184633268 228550890 230791585 274261068 276949902 342826335 415424853 457101780 461583170 553899804 685652670 692374755 784691389 830849706 923166340 1371305340 1384749510 1569382778 1661699412 2077124265 2354074167 2769499020 3138765556 3923456945 4154248530 4708148334 7062222501 7846913890 8308497060 9416296668 11770370835 14124445002 15693827780 23540741670 28248890004 35311112505 47081483340 70622225010 141244450020