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143214220240 = 245713113174091
BaseRepresentation
bin1000010101100000111…
…0111001001111010000
3111200122211211012000021
42011120032321033100
54321300320021430
6145443001433224
713226660533540
oct2053016711720
9450584735007
10143214220240
115581176a403
122390a19b814
131067476c270
146d08479320
153ad2ecd07a
hex21583b93d0

143214220240 has 160 divisors (see below), whose sum is σ = 413442038016. Its totient is φ = 44923576320.

The previous prime is 143214220229. The next prime is 143214220291. The reversal of 143214220240 is 42022412341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735595 + ... + 909685.

Almost surely, 2143214220240 is an apocalyptic number.

143214220240 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 143214220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206721019008).

143214220240 is an abundant number, since it is smaller than the sum of its proper divisors (270227817776).

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

143214220240 is a wasteful number, since it uses less digits than its factorization.

143214220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174237 (or 174231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 143214220240 its reverse (42022412341), we get a palindrome (185236632581).

The spelling of 143214220240 in words is "one hundred forty-three billion, two hundred fourteen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 113 130 140 182 208 226 260 280 364 452 455 520 560 565 728 791 904 910 1040 1130 1456 1469 1582 1808 1820 2260 2938 3164 3640 3955 4520 5876 6328 7280 7345 7910 9040 10283 11752 12656 14690 15820 20566 23504 29380 31640 41132 51415 58760 63280 82264 102830 117520 164528 174091 205660 348182 411320 696364 822640 870455 1218637 1392728 1740910 2263183 2437274 2785456 3481820 4526366 4874548 6093185 6963640 9052732 9749096 11315915 12186370 13927280 15842281 18105464 19498192 19672283 22631830 24372740 31684562 36210928 39344566 45263660 48745480 63369124 78689132 79211405 90527320 97490960 98361415 126738248 137705981 157378264 158422810 181054640 196722830 253476496 255739679 275411962 314756528 316845620 393445660 511479358 550823924 633691240 688529905 786891320 1022958716 1101647848 1267382480 1278698395 1377059810 1573782640 1790177753 2045917432 2203295696 2557396790 2754119620 3580355506 4091834864 5114793580 5508239240 7160711012 8950888765 10229587160 11016478480 14321422024 17901777530 20459174320 28642844048 35803555060 71607110120 143214220240