Search a number
-
+
503142221040 = 24352972290549
BaseRepresentation
bin1110101001001011001…
…11010000010011110000
31210002200211212002011120
413110211213100103300
531220413402033130
61023050151542240
751231222212544
oct7244547202360
91702624762146
10503142221040
11184421737698
128161938a980
13385a5139574
141a4d068ba24
15d14b91b910
hex75259d04f0

503142221040 has 80 divisors (see below), whose sum is σ = 1613525076000. Its totient is φ = 129544662016.

The previous prime is 503142221017. The next prime is 503142221047. The reversal of 503142221040 is 40122241305.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 503142221040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503142221047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36138315 + ... + 36152234.

It is an arithmetic number, because the mean of its divisors is an integer number (20169063450).

Almost surely, 2503142221040 is an apocalyptic number.

It is an amenable number.

503142221040 is an abundant number, since it is smaller than the sum of its proper divisors (1110382854960).

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

503142221040 is a wasteful number, since it uses less digits than its factorization.

503142221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72290594 (or 72290588 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 503142221040 its reverse (40122241305), we get a palindrome (543264462345).

The spelling of 503142221040 in words is "five hundred three billion, one hundred forty-two million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 72290549 144581098 216871647 289162196 361452745 433743294 578324392 722905490 867486588 1084358235 1156648784 1445810980 1734973176 2096425921 2168716470 2891621960 3469946352 4192851842 4337432940 5783243920 6289277763 8385703684 8674865880 10482129605 12578555526 16771407368 17349731760 20964259210 25157111052 31446388815 33542814736 41928518420 50314222104 62892777630 83857036840 100628444208 125785555260 167714073680 251571110520 503142221040