Search a number
-
+
143383390560 = 25325195240621
BaseRepresentation
bin1000010110001001010…
…0001110100101100000
3111201002122010221001200
42011202110032211200
54322122121444220
6145511443401200
713234113465504
oct2054224164540
9451078127050
10143383390560
1155899205593
1223956983200
13106a0820a47
146d22b14304
153ae2c97890
hex216250e960

143383390560 has 144 divisors (see below), whose sum is σ = 515048330160. Its totient is φ = 36223165440.

The previous prime is 143383390543. The next prime is 143383390561. The reversal of 143383390560 is 65093383341.

143383390560 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 83 + 3 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1433833905602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143383390561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2592951 + ... + 2647670.

It is an arithmetic number, because the mean of its divisors is an integer number (3576724515).

Almost surely, 2143383390560 is an apocalyptic number.

143383390560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

143383390560 is an abundant number, since it is smaller than the sum of its proper divisors (371664939600).

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

143383390560 is a wasteful number, since it uses less digits than its factorization.

143383390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240661 (or 5240650 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 143383390560 in words is "one hundred forty-three billion, three hundred eighty-three million, three hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 5240621 10481242 15721863 20962484 26203105 31443726 41924968 47165589 52406210 62887452 78609315 83849936 94331178 99571799 104812420 125774904 157218630 167699872 188662356 199143598 209624840 235827945 251549808 298715397 314437260 377324712 398287196 419249680 471655890 497858995 503099616 597430794 628874520 754649424 796574392 838499360 896146191 943311780 995717990 1194861588 1257749040 1493576985 1509298848 1593148784 1792292382 1886623560 1991435980 2389723176 2515498080 2987153970 3186297568 3584584764 3773247120 3982871960 4480730955 4779446352 5974307940 7169169528 7546494240 7965743920 8961461910 9558892704 11948615880 14338339056 15931487840 17922923820 23897231760 28676678112 35845847640 47794463520 71691695280 143383390560