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140420505510 = 23252324762753
BaseRepresentation
bin1000001011000110110…
…1101101111110100110
3111102110010221202212100
42002301231231332212
54300040122134020
6144301442432530
713100515413615
oct2026155557646
9442403852770
10140420505510
115460879515a
122326a662746
131031aa32b1c
146b2140d87c
1539bcad5a90
hex20b1b6dfa6

140420505510 has 144 divisors (see below), whose sum is σ = 389783669184. Its totient is φ = 35054773248.

The previous prime is 140420505509. The next prime is 140420505517. The reversal of 140420505510 is 15505024041.

140420505510 is a `hidden beast` number, since 1 + 40 + 4 + 20 + 50 + 551 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140420505517) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2206294 + ... + 2269046.

It is an arithmetic number, because the mean of its divisors is an integer number (2706831036).

Almost surely, 2140420505510 is an apocalyptic number.

140420505510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140420505510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194891834592).

140420505510 is an abundant number, since it is smaller than the sum of its proper divisors (249363163674).

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

140420505510 is a wasteful number, since it uses less digits than its factorization.

140420505510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62859 (or 62833 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 140420505510 its reverse (15505024041), we get a palindrome (155925529551).

The spelling of 140420505510 in words is "one hundred forty billion, four hundred twenty million, five hundred five thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 47 69 90 94 115 138 141 207 230 235 282 345 414 423 470 529 690 705 846 1035 1058 1081 1410 1587 2070 2115 2162 2645 3174 3243 4230 4761 5290 5405 6486 7935 9522 9729 10810 15870 16215 19458 23805 24863 32430 47610 48645 49726 62753 74589 97290 124315 125506 149178 188259 223767 248630 313765 372945 376518 447534 564777 627530 745890 941295 1118835 1129554 1443319 1882590 2237670 2823885 2886638 2949391 4329957 5647770 5898782 7216595 8659914 8848173 12989871 14433190 14746955 17696346 21649785 25979742 26544519 29493910 33196337 43299570 44240865 53089038 64949355 66392674 67835993 88481730 99589011 129898710 132722595 135671986 165981685 199178022 203507979 265445190 298767033 331963370 339179965 407015958 497945055 597534066 610523937 678359930 995890110 1017539895 1221047874 1493835165 1560227839 2035079790 2987670330 3052619685 3120455678 4680683517 6105239370 7801139195 9361367034 14042050551 15602278390 23403417585 28084101102 46806835170 70210252755 140420505510