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1243708957089 = 341723721972
BaseRepresentation
bin10010000110010010110…
…101001010000110100001
311101220020012211012010000
4102012102311022012201
5130334103443111324
62351204011130213
7155566160464554
oct22062265120641
94356205735100
101243708957089
1143a4aa312525
12181057743969
1390386ba8b21
14442a552869b
15225421079c9
hex12192d4a1a1

1243708957089 has 135 divisors (see below), whose sum is σ = 2038733191803. Its totient is φ = 755421230592.

The previous prime is 1243708957037. The next prime is 1243708957091. The reversal of 1243708957089 is 9807598073421.

The square root of 1243708957089 is 1115217.

It is a perfect power (a square), and thus also a powerful number.

1243708957089 is a `hidden beast` number, since 1 + 24 + 37 + 0 + 8 + 9 + 570 + 8 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 405737150625 + 837971806464 = 636975^2 + 915408^2 .

It is not a de Polignac number, because 1243708957089 - 227 = 1243574739361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1243708957189) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6313243339 + ... + 6313243535.

Almost surely, 21243708957089 is an apocalyptic number.

1243708957089 is the 1115217-th square number.

1243708957089 is the 557609-th centered octagonal number.

It is an amenable number.

1243708957089 is a deficient number, since it is larger than the sum of its proper divisors (795024234714).

1243708957089 is an frugal number, since it uses more digits than its factorization.

1243708957089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1243708957089 in words is "one trillion, two hundred forty-three billion, seven hundred eight million, nine hundred fifty-seven thousand, eighty-nine".

Divisors: 1 3 9 17 27 37 51 81 111 153 197 289 333 459 591 629 867 999 1369 1377 1773 1887 2601 2997 3349 4107 5319 5661 7289 7803 10047 10693 12321 15957 16983 21867 23273 23409 30141 32079 36963 38809 50949 56933 65601 69819 90423 96237 110889 116427 123913 170799 196803 209457 269693 271269 288711 349281 371739 395641 512397 590409 628371 659753 809079 866133 1047843 1115217 1186923 1435933 1537191 1885113 1979259 2106521 2427237 3143529 3345651 3560769 4307799 4584781 4611573 5937777 6319563 7281711 10036953 10682307 11215801 12923397 13754343 17813331 18958689 21845133 24410861 32046921 33647403 38770191 41263029 53129521 53439993 56876067 73232583 77941277 100942209 116310573 123789087 159388563 170628201 219697749 233823831 302826627 371367261 414984637 478165689 659093247 701471493 903201857 908479881 1244953911 1434497067 1977279741 2104414479 2709605571 3734861733 4303491201 6313243437 8128816713 11204585199 15354431569 24386450139 33613755597 46063294707 73159350417 138189884121 414569652363 1243708957089