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143884100040 = 23355920639851
BaseRepresentation
bin1000011000000000101…
…0010010000111001000
3111202101112022121100020
42012000022102013020
54324133312200130
6150033251340440
713252403446062
oct2060012220710
9452345277306
10143884100040
1156025906a7a
1223a765b1720
1310750493a45
146d6d412732
153b21c00e10
hex21802921c8

143884100040 has 128 divisors (see below), whose sum is σ = 439225804800. Its totient is φ = 37696659200.

The previous prime is 143884100029. The next prime is 143884100069. The reversal of 143884100040 is 40001488341.

It is a junction number, because it is equal to n+sod(n) for n = 143884099974 and 143884100010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14601115 + ... + 14610965.

It is an arithmetic number, because the mean of its divisors is an integer number (3431451600).

Almost surely, 2143884100040 is an apocalyptic number.

143884100040 is a gapful number since it is divisible by the number (10) 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 143884100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219612902400).

143884100040 is an abundant number, since it is smaller than the sum of its proper divisors (295341704760).

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

143884100040 is a wasteful number, since it uses less digits than its factorization.

143884100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 143884100040 its reverse (40001488341), we get a palindrome (183885588381).

The spelling of 143884100040 in words is "one hundred forty-three billion, eight hundred eighty-four million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2063 2360 3540 4126 6189 7080 8252 9851 10315 12378 16504 19702 20630 24756 29553 30945 39404 41260 49255 49512 59106 61890 78808 82520 98510 118212 121717 123780 147765 197020 236424 243434 247560 295530 365151 394040 486868 581209 591060 608585 730302 973736 1162418 1182120 1217170 1460604 1743627 1825755 2324836 2434340 2906045 2921208 3487254 3651510 4649672 4868680 5812090 6974508 7303020 8718135 11624180 13949016 14606040 17436270 20322613 23248360 34872540 40645226 60967839 69745080 81290452 101613065 121935678 162580904 203226130 243871356 304839195 406452260 487742712 609678390 812904520 1199034167 1219356780 2398068334 2438713560 3597102501 4796136668 5995170835 7194205002 9592273336 11990341670 14388410004 17985512505 23980683340 28776820008 35971025010 47961366680 71942050020 143884100040