Search a number
-
+
143980512200 = 23527238332
BaseRepresentation
bin1000011000010111101…
…0000100001111001000
3111202122020201211221222
42012011322010033020
54324333002342300
6150051014021212
713254654106100
oct2060572041710
9452566654858
10143980512200
1156075277948
1223aa2947808
131076744c465
146d7c14c200
153b2a3e7785
hex2185e843c8

143980512200 has 108 divisors (see below), whose sum is σ = 389510138115. Its totient is φ = 49351868160.

The previous prime is 143980512173. The next prime is 143980512229. The reversal of 143980512200 is 2215089341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 16241463364 + 127739048836 = 127442^2 + 357406^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=268310.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37561484 + ... + 37565316.

Almost surely, 2143980512200 is an apocalyptic number.

143980512200 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 143980512200

143980512200 is an abundant number, since it is smaller than the sum of its proper divisors (245529625915).

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

143980512200 is an frugal number, since it uses more digits than its factorization.

143980512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 143980512200 in words is "one hundred forty-three billion, nine hundred eighty million, five hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3833 4900 7666 9800 15332 19165 26831 30664 38330 53662 76660 95825 107324 134155 153320 187817 191650 214648 268310 375634 383300 536620 670775 751268 766600 939085 1073240 1341550 1502536 1878170 2683100 3756340 4695425 5366200 7512680 9390850 14691889 18781700 29383778 37563400 58767556 73459445 102843223 117535112 146918890 205686446 293837780 367297225 411372892 514216115 587675560 719902561 734594450 822745784 1028432230 1439805122 1469188900 2056864460 2571080575 2879610244 2938377800 3599512805 4113728920 5142161150 5759220488 7199025610 10284322300 14398051220 17997564025 20568644600 28796102440 35995128050 71990256100 143980512200