Search a number
-
+
524141345014054 = 2314310717925494027
BaseRepresentation
bin111011100101101000010101…
…0101011101000000100100110
32112201211102102112022112011221
41313023100222223220010212
51022200012433310422204
65054431113152050554
7215254651101002665
oct16713205253500446
92481742375275157
10524141345014054
1114200a106a18579
124a95212bb33a5a
1319660416ba0c31
14936080db22ddc
15408e1bc593654
hex1dcb42aae8126

524141345014054 has 128 divisors (see below), whose sum is σ = 843431491584000. Its totient is φ = 243876305312640.

The previous prime is 524141345014033. The next prime is 524141345014061. The reversal of 524141345014054 is 450410543141425.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 524141345014054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130156775989 + ... + 130156780015.

It is an arithmetic number, because the mean of its divisors is an integer number (6589308528000).

Almost surely, 2524141345014054 is an apocalyptic number.

524141345014054 is a deficient number, since it is larger than the sum of its proper divisors (319290146569946).

524141345014054 is a wasteful number, since it uses less digits than its factorization.

524141345014054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938.

The product of its (nonzero) digits is 768000, while the sum is 43.

Adding to 524141345014054 its reverse (450410543141425), we get a palindrome (974551888155479).

The spelling of 524141345014054 in words is "five hundred twenty-four trillion, one hundred forty-one billion, three hundred forty-five million, fourteen thousand, fifty-four".

Divisors: 1 2 31 43 62 86 107 179 214 358 1333 2549 2666 3317 4027 4601 5098 5549 6634 7697 8054 9202 11098 15394 19153 38306 79019 109607 124837 142631 158038 173161 219214 238607 249674 272743 285262 346322 430889 456271 477214 545486 593743 720833 823579 861778 912542 1187486 1441666 1647158 3397817 5367991 6795634 8455033 10264823 10735982 11727949 13357559 14144401 16910066 18528227 19619653 20529646 22345823 23455898 25530949 26715118 28288802 30995819 37056454 39239306 44691646 48820997 51061898 61991638 77129131 97641994 154258262 318209513 363566419 441387389 574375037 608209243 636419026 727132838 882774778 960870389 1098336061 1148750074 1216418486 1513450907 1837403317 1921740778 2099302871 2196672122 2391003061 3026901814 3316552633 3674806634 4198605742 4782006122 6633105266 13683009059 27366018118 34048417891 47228450623 56959502827 65078389001 68096835782 79008342631 94456901246 102813131623 113919005654 130156778002 158016685262 196602154919 205626263246 393204309838 1464081969313 2449258621561 2928163938626 4898517243122 6094666802489 8453892661517 12189333604978 16907785323034 262070672507027 524141345014054