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4200140520 = 2333513728387
BaseRepresentation
bin1111101001011001…
…0000111011101000
3101211201022020122000
43322112100323220
532100213444040
61532435331000
7206040414432
oct37226207350
911751266560
104200140520
111865962814
12992750a60
1351c227964
142bbb71652
15198b0b130
hexfa590ee8

4200140520 has 128 divisors (see below), whose sum is σ = 14103158400. Its totient is φ = 1111822848.

The previous prime is 4200140519. The next prime is 4200140531. The reversal of 4200140520 is 250410024.

4200140520 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 140 + 520 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4200140493 and 4200140502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133767 + ... + 162153.

It is an arithmetic number, because the mean of its divisors is an integer number (110180925).

Almost surely, 24200140520 is an apocalyptic number.

4200140520 is a gapful number since it is divisible by the number (40) 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 4200140520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051579200).

4200140520 is an abundant number, since it is smaller than the sum of its proper divisors (9903017880).

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

4200140520 is a wasteful number, since it uses less digits than its factorization.

4200140520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28544 (or 28534 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4200140520 is about 64808.4911103476. The cubic root of 4200140520 is about 1613.4466393948.

Adding to 4200140520 its reverse (250410024), we get a palindrome (4450550544).

The spelling of 4200140520 in words is "four billion, two hundred million, one hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 540 548 685 822 1080 1096 1233 1370 1644 2055 2466 2740 3288 3699 4110 4932 5480 6165 7398 8220 9864 12330 14796 16440 18495 24660 28387 29592 36990 49320 56774 73980 85161 113548 141935 147960 170322 227096 255483 283870 340644 425805 510966 567740 681288 766449 851610 1021932 1135480 1277415 1532898 1703220 2043864 2554830 3065796 3406440 3832245 3889019 5109660 6131592 7664490 7778038 10219320 11667057 15328980 15556076 19445095 23334114 30657960 31112152 35001171 38890190 46668228 58335285 70002342 77780380 93336456 105003513 116670570 140004684 155560760 175005855 210007026 233341140 280009368 350011710 420014052 466682280 525017565 700023420 840028104 1050035130 1400046840 2100070260 4200140520