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143003212240 = 2457976194253
BaseRepresentation
bin1000010100101110100…
…1111101100111010000
3111200010010202212110011
42011023221331213100
54320332310242430
6145410023044304
713221516151060
oct2051351754720
9450103685404
10143003212240
1155713648a29
122386b5a0694
131063cb2c665
146cc842d3a0
153abe6ec22a
hex214ba7d9d0

143003212240 has 160 divisors (see below), whose sum is σ = 384607883520. Its totient is φ = 48434429952.

The previous prime is 143003212229. The next prime is 143003212243. The reversal of 143003212240 is 42212300341.

143003212240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143003212243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33621954 + ... + 33626206.

It is an arithmetic number, because the mean of its divisors is an integer number (2403799272).

Almost surely, 2143003212240 is an apocalyptic number.

143003212240 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 143003212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192303941760).

143003212240 is an abundant number, since it is smaller than the sum of its proper divisors (241604671280).

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

143003212240 is a wasteful number, since it uses less digits than its factorization.

143003212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 143003212240 its reverse (42212300341), we get a palindrome (185215512581).

The spelling of 143003212240 in words is "one hundred forty-three billion, three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 619 679 776 970 1238 1358 1552 1940 2476 2716 3095 3395 3880 4253 4333 4952 5432 6190 6790 7760 8506 8666 9904 10864 12380 13580 17012 17332 21265 21665 24760 27160 29771 34024 34664 42530 43330 49520 54320 59542 60043 68048 69328 85060 86660 119084 120086 148855 170120 173320 238168 240172 297710 300215 340240 346640 412541 420301 476336 480344 595420 600430 825082 840602 960688 1190840 1200860 1650164 1681204 2062705 2101505 2381680 2401720 2632607 2887787 3300328 3362408 4125410 4203010 4803440 5265214 5775574 6600656 6724816 8250820 8406020 10530428 11551148 13163035 14438935 16501640 16812040 18428249 21060856 23102296 26326070 28877870 33003280 33624080 36856498 42121712 46204592 52652140 57755740 73712996 92141245 105304280 115511480 147425992 184282490 210608560 231022960 255362879 294851984 368564980 510725758 737129960 1021451516 1276814395 1474259920 1787540153 2042903032 2553628790 3575080306 4085806064 5107257580 7150160612 8937700765 10214515160 14300321224 17875401530 20429030320 28600642448 35750803060 71501606120 143003212240