Search a number
-
+
5642310031120 = 2457231034253083
BaseRepresentation
bin101001000011011001111…
…1000101001011100010000
3201222101210021202110101001
41102012303320221130100
51214420422331443440
620000012541351344
71121433462641440
oct122066370513420
921871707673331
105642310031120
111885987a10724
12771626268554
1331c0b554bc39
14157136d18120
159bb81c79b9a
hex521b3e29710

5642310031120 has 160 divisors (see below), whose sum is σ = 15796158124032. Its totient is φ = 1832431873536.

The previous prime is 5642310031109. The next prime is 5642310031123. The reversal of 5642310031120 is 211300132465.

It is a super-3 number, since 3×56423100311203 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5642310031123) 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, 799902 + ... + 3453181.

Almost surely, 25642310031120 is an apocalyptic number.

It is an amenable number.

5642310031120 is an abundant number, since it is smaller than the sum of its proper divisors (10153848092912).

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

5642310031120 is a wasteful number, since it uses less digits than its factorization.

5642310031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253229 (or 4253223 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 5642310031120 its reverse (211300132465), we get a palindrome (5853610163585).

The spelling of 5642310031120 in words is "five trillion, six hundred forty-two billion, three hundred ten million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 103 112 115 140 161 184 206 230 280 322 368 412 460 515 560 644 721 805 824 920 1030 1288 1442 1610 1648 1840 2060 2369 2576 2884 3220 3605 4120 4738 5768 6440 7210 8240 9476 11536 11845 12880 14420 16583 18952 23690 28840 33166 37904 47380 57680 66332 82915 94760 132664 165830 189520 265328 331660 663320 1326640 4253083 8506166 17012332 21265415 29771581 34024664 42530830 59543162 68049328 85061660 97820909 119086324 148857905 170123320 195641818 238172648 297715810 340246640 391283636 438067549 476345296 489104545 595431620 684746363 782567272 876135098 978209090 1190863240 1369492726 1565134544 1752270196 1956418180 2190337745 2381726480 2738985452 3066472843 3423731815 3504540392 3912836360 4380675490 5477970904 6132945686 6847463630 7009080784 7825672720 8761350980 10075553627 10955941808 12265891372 13694927260 15332364215 17522701960 20151107254 24531782744 27389854520 30664728430 35045403920 40302214508 49063565488 50377768135 54779709040 61329456860 70528875389 80604429016 100755536270 122658913720 141057750778 161208858032 201511072540 245317827440 282115501556 352644376945 403022145080 564231003112 705288753890 806044290160 1128462006224 1410577507780 2821155015560 5642310031120