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2477114530242 = 2311175961613439
BaseRepresentation
bin100100000010111111100…
…010000001100111000010
322202210212101000020120120
4210002333202001213002
5311041112304431432
65133545401121110
7343652131045302
oct44027742014702
98683771006516
102477114530242
118755a1635110
123400b8789196
1314c78b283361
1487c704b9602
154467e8c5c2c
hex240bf8819c2

2477114530242 has 128 divisors (see below), whose sum is σ = 5914935705600. Its totient is φ = 683124556800.

The previous prime is 2477114530229. The next prime is 2477114530249. The reversal of 2477114530242 is 2420354117742.

It is a super-2 number, since 2×24771145302422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2477114530194 and 2477114530203.

It is not an unprimeable number, because it can be changed into a prime (2477114530249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3731359 + ... + 4344797.

It is an arithmetic number, because the mean of its divisors is an integer number (46210435200).

Almost surely, 22477114530242 is an apocalyptic number.

2477114530242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2477114530242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957467852800).

2477114530242 is an abundant number, since it is smaller than the sum of its proper divisors (3437821175358).

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

2477114530242 is a wasteful number, since it uses less digits than its factorization.

2477114530242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613592.

The product of its (nonzero) digits is 376320, while the sum is 42.

Adding to 2477114530242 its reverse (2420354117742), we get a palindrome (4897468647984).

The spelling of 2477114530242 in words is "two trillion, four hundred seventy-seven billion, one hundred fourteen million, five hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 61 66 102 118 122 177 183 187 354 366 374 561 649 671 1003 1037 1122 1298 1342 1947 2006 2013 2074 3009 3111 3599 3894 4026 6018 6222 7198 10797 11033 11407 21594 22066 22814 33099 34221 39589 61183 66198 68442 79178 118767 122366 183549 237534 367098 613439 673013 1226878 1346026 1840317 2019039 3680634 4038078 6747829 10428463 13495658 20243487 20856926 31285389 36192901 37419779 40486974 62570778 72385802 74839558 108578703 112259337 114713093 217157406 224518674 229426186 344139279 398121911 411617569 615279317 636136243 688278558 796243822 823235138 1194365733 1230558634 1234852707 1272272486 1845837951 1908408729 2207766961 2388731466 2469705414 3691675902 3816817458 4415533922 6623300883 6768072487 6997498673 13246601766 13536144974 13994997346 20304217461 20992496019 24285436571 37532038337 40608434922 41984992038 48570873142 72856309713 75064076674 112596115011 145712619426 225192230022 412852421707 825704843414 1238557265121 2477114530242