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141005202000 = 24353131807759
BaseRepresentation
bin1000001101010010010…
…0001010001001010000
3111110221220011102122220
42003110210022021100
54302234312431000
6144435450501040
713121145304245
oct2032444121120
9443856142586
10141005202000
11548888402a3
12233b2434780
13103b1c00b90
146b78d315cc
153a040ce1a0
hex20d490a250

141005202000 has 160 divisors (see below), whose sum is σ = 489570332160. Its totient is φ = 34708953600.

The previous prime is 141005201933. The next prime is 141005202001. The reversal of 141005202000 is 202500141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141005202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825880 + ... + 981879.

It is an arithmetic number, because the mean of its divisors is an integer number (3059814576).

Almost surely, 2141005202000 is an apocalyptic number.

141005202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141005202000 is an abundant number, since it is smaller than the sum of its proper divisors (348565130160).

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

141005202000 is a wasteful number, since it uses less digits than its factorization.

141005202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807798 (or 1807782 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 141005202000 its reverse (202500141), we get a palindrome (141207702141).

The spelling of 141005202000 in words is "one hundred forty-one billion, five million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 1807759 3615518 5423277 7231036 9038795 10846554 14462072 18077590 21693108 23500867 27116385 28924144 36155180 43386216 45193975 47001734 54232770 70502601 72310360 86772432 90387950 94003468 108465540 117504335 135581925 141005202 144620720 180775900 188006936 216931080 225969875 235008670 271163850 282010404 352513005 361551800 376013872 433862160 451939750 470017340 542327700 564020808 587521675 677909625 705026010 723103600 903879500 940034680 1084655400 1128041616 1175043350 1355819250 1410052020 1762565025 1807759000 1880069360 2169310800 2350086700 2711638500 2820104040 2937608375 3525130050 3615518000 4700173400 5423277000 5640208080 5875216750 7050260100 8812825125 9400346800 10846554000 11750433500 14100520200 17625650250 23500867000 28201040400 35251300500 47001734000 70502601000 141005202000