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141022780900 = 2252172474
BaseRepresentation
bin1000001101010110011…
…1001101110111100100
3111111000010020112101021
42003111213031313210
54302303312442100
6144441315340524
713121450600551
oct2032547156744
9444003215337
10141022780900
1154897757611
12233b82b1744
13103b57472b1
146b7b3c9a28
153a05902a1a
hex20d59cdde4

141022780900 has 135 divisors (see below), whose sum is σ = 332146412059. Its totient is φ = 51961335040.

The previous prime is 141022780889. The next prime is 141022780919. The reversal of 141022780900 is 9087220141.

The square root of 141022780900 is 375530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3298664356 + 137724116544 = 57434^2 + 371112^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3000484677 + ... + 3000484723.

Almost surely, 2141022780900 is an apocalyptic number.

141022780900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141022780900 is the 375530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141022780900

141022780900 is an abundant number, since it is smaller than the sum of its proper divisors (191123631159).

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

141022780900 is an frugal number, since it uses more digits than its factorization.

141022780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 141022780900 in words is "one hundred forty-one billion, twenty-two million, seven hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 289 340 425 470 578 799 850 940 1156 1175 1445 1598 1700 2209 2350 2890 3196 3995 4418 4700 5780 7225 7990 8836 11045 13583 14450 15980 19975 22090 27166 28900 37553 39950 44180 54332 55225 67915 75106 79900 103823 110450 135830 150212 187765 207646 220900 271660 339575 375530 415292 519115 638401 679150 751060 938825 1038230 1276802 1358300 1764991 1877650 2076460 2553604 2595575 3192005 3529982 3755300 4879681 5191150 6384010 7059964 8824955 9759362 10382300 12768020 15960025 17649910 19518724 24398405 30004847 31920050 35299820 44124775 48796810 60009694 63840100 82954577 88249550 97593620 120019388 121992025 150024235 165909154 176499100 243984050 300048470 331818308 414772885 487968100 600096940 750121175 829545770 1410227809 1500242350 1659091540 2073864425 2820455618 3000484700 4147728850 5640911236 7051139045 8295457700 14102278090 28204556180 35255695225 70511390450 141022780900