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143271893840 = 24553893131213
BaseRepresentation
bin1000010101101110101…
…0111001101101010000
3111200210212100022022112
42011123222321231100
54321410101100330
6145452421524452
713231261001255
oct2053352715520
9450725308275
10143271893840
1155841281439
1223925573728
13106836b335a
146d11dad42c
153ad80c1795
hex215bab9b50

143271893840 has 160 divisors (see below), whose sum is σ = 344585936160. Its totient is φ = 55372382208.

The previous prime is 143271893819. The next prime is 143271893851. The reversal of 143271893840 is 48398172341.

143271893840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 120306309904 + 22965583936 = 346852^2 + 151544^2 .

It is a congruent number.

It is an unprimeable number.

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, 118113074 + ... + 118114286.

It is an arithmetic number, because the mean of its divisors is an integer number (2153662101).

Almost surely, 2143271893840 is an apocalyptic number.

143271893840 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 143271893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172292968080).

143271893840 is an abundant number, since it is smaller than the sum of its proper divisors (201314042320).

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

143271893840 is a wasteful number, since it uses less digits than its factorization.

143271893840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 143271893840 in words is "one hundred forty-three billion, two hundred seventy-one million, eight hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 89 106 178 212 265 313 356 424 445 530 626 712 848 890 1060 1213 1252 1424 1565 1780 2120 2426 2504 3130 3560 4240 4717 4852 5008 6065 6260 7120 9434 9704 12130 12520 16589 18868 19408 23585 24260 25040 27857 33178 37736 47170 48520 55714 64289 66356 75472 82945 94340 97040 107957 111428 128578 132712 139285 165890 188680 215914 222856 257156 265424 278570 321445 331780 377360 379669 431828 445712 514312 539785 557140 642890 663560 759338 863656 1028624 1079570 1114280 1285780 1327120 1476421 1518676 1727312 1898345 2159140 2228560 2571560 2952842 3037352 3796690 4318280 5143120 5721721 5905684 6074704 7382105 7593380 8636560 11443442 11811368 14764210 15186760 20122457 22886884 23622736 28608605 29528420 30373520 33790541 40244914 45773768 57217210 59056840 67581082 80489828 91547536 100612285 114434420 118113680 135162164 160979656 168952705 201224570 228868840 270324328 321959312 337905410 402449140 457737680 540648656 675810820 804898280 1351621640 1609796560 1790898673 2703243280 3581797346 7163594692 8954493365 14327189384 17908986730 28654378768 35817973460 71635946920 143271893840