Search a number
-
+
5040431455440 = 2435503105139727
BaseRepresentation
bin100100101011001000100…
…1000000101110011010000
3122211212020100000212111210
41021112101020011303100
51130040300423033230
614415313042540120
71030105406314413
oct111262110056320
918755210025453
105040431455440
1116736a9175447
12694a52367640
132a740664c6b4
14135d5b385b7a
158b1a7031eb0
hex49591205cd0

5040431455440 has 160 divisors (see below), whose sum is σ = 15671692947456. Its totient is φ = 1340132774400.

The previous prime is 5040431455391. The next prime is 5040431455441. The reversal of 5040431455440 is 445541340405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040431455441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126856857 + ... + 126896583.

Almost surely, 25040431455440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040431455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835846473728).

5040431455440 is an abundant number, since it is smaller than the sum of its proper divisors (10631261492016).

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

5040431455440 is a wasteful number, since it uses less digits than its factorization.

5040431455440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41297 (or 41291 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 5040431455440 its reverse (445541340405), we get a palindrome (5485972795845).

The spelling of 5040431455440 in words is "five trillion, forty billion, four hundred thirty-one million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 503 1006 1051 1509 2012 2102 2515 3018 3153 4024 4204 5030 5255 6036 6306 7545 8048 8408 10060 10510 12072 12612 15090 15765 16816 20120 21020 24144 25224 30180 31530 39727 40240 42040 50448 60360 63060 79454 84080 119181 120720 126120 158908 198635 238362 252240 317816 397270 476724 528653 595905 635632 794540 953448 1057306 1191810 1585959 1589080 1906896 2114612 2383620 2643265 3171918 3178160 4229224 4767240 5286530 6343836 7929795 8458448 9534480 10573060 12687672 15859590 19982681 21146120 25375344 31719180 39965362 41753077 42292240 59948043 63438360 79930724 83506154 99913405 119896086 125259231 126876720 159861448 167012308 199826810 208765385 239792172 250518462 299740215 319722896 334024616 399653620 417530770 479584344 501036924 599480430 626296155 668049232 799307240 835061540 959168688 1002073848 1198960860 1252592310 1598614480 1670123080 2004147696 2397921720 2505184620 3340246160 4795843440 5010369240 10020738480 21001797731 42003595462 63005393193 84007190924 105008988655 126010786386 168014381848 210017977310 252021572772 315026965965 336028763696 420035954620 504043145544 630053931930 840071909240 1008086291088 1260107863860 1680143818480 2520215727720 5040431455440