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501142140 = 22345714357
BaseRepresentation
bin11101110111101…
…101001001111100
31021220222122210000
4131313231021330
52011243022030
6121421114300
715263431542
oct3567551174
91256878700
10501142140
11237977564
1211b9b8990
137ca94c15
144a7b1d92
152dee1860
hex1dded27c

501142140 has 120 divisors (see below), whose sum is σ = 1594609632. Its totient is φ = 131725440.

The previous prime is 501142073. The next prime is 501142151. The reversal of 501142140 is 41241105.

It is a super-2 number, since 2×5011421402 = 502286888967559200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112842 + ... + 117198.

Almost surely, 2501142140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797304816).

501142140 is an abundant number, since it is smaller than the sum of its proper divisors (1093467492).

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

501142140 is a wasteful number, since it uses less digits than its factorization.

501142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 501142140 is about 22386.2042338580. The cubic root of 501142140 is about 794.3044111488.

Adding to 501142140 its reverse (41241105), we get a palindrome (542383245).

The spelling of 501142140 in words is "five hundred one million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3834 4260 4357 5751 6390 7668 8714 9585 11502 12780 13071 17428 19170 21785 23004 26142 28755 38340 39213 43570 52284 57510 65355 78426 87140 115020 117639 130710 156852 196065 235278 261420 309347 352917 392130 470556 588195 618694 705834 784260 928041 1176390 1237388 1411668 1546735 1764585 1856082 2352780 2784123 3093470 3529170 3712164 4640205 5568246 6186940 7058340 8352369 9280410 11136492 13920615 16704738 18560820 25057107 27841230 33409476 41761845 50114214 55682460 83523690 100228428 125285535 167047380 250571070 501142140