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413140131240430 = 2511591134091377371
BaseRepresentation
bin101110111101111111010111…
…0110000111101100111101110
32000011210210220002102020012011
41131323332232300331213232
5413122341442044143210
64022401542310231434
7153010250406411346
oct13573765660754756
92004723802366164
10413140131240430
1110a7038225a93a0
123a4053aa05557a
131496ac410293c9
1474041364a1d26
1532b6ac9cacd8a
hex177bfaec3d9ee

413140131240430 has 128 divisors (see below), whose sum is σ = 834343639948800. Its totient is φ = 146021494886400.

The previous prime is 413140131240413. The next prime is 413140131240479. The reversal of 413140131240430 is 34042131041314.

It is a junction number, because it is equal to n+sod(n) for n = 413140131240392 and 413140131240401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299259645 + ... + 300637015.

It is an arithmetic number, because the mean of its divisors is an integer number (6518309687100).

Almost surely, 2413140131240430 is an apocalyptic number.

413140131240430 is an abundant number, since it is smaller than the sum of its proper divisors (421203508708370).

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

413140131240430 is a wasteful number, since it uses less digits than its factorization.

413140131240430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377970.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 413140131240430 its reverse (34042131041314), we get a palindrome (447182262281744).

The spelling of 413140131240430 in words is "four hundred thirteen trillion, one hundred forty billion, one hundred thirty-one million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 59 110 113 118 226 295 409 565 590 649 818 1130 1243 1298 2045 2486 3245 4090 4499 6215 6490 6667 8998 12430 13334 22495 24131 33335 44990 46217 48262 66670 73337 92434 120655 146674 231085 241310 265441 366685 462170 508387 530882 733370 1016774 1327205 1377371 2541935 2654410 2726803 2754742 5083870 5453606 6886855 13634015 13773710 15151081 27268030 29994833 30302162 59989666 75755405 81264889 149974165 151510810 155642923 162529778 299948330 311285846 406324445 563344739 778214615 812648890 893913779 1126689478 1556429230 1712072153 1787827558 2816723695 3424144306 4469568895 5633447390 6196792129 8560360765 8939137790 9182932457 12393584258 17120721530 18365864914 30983960645 33237339601 45914662285 61967921290 63657955507 66474679202 91829324570 101012257027 127315911014 166186698005 202024514054 318289777535 332373396010 365610735611 505061285135 636579555070 700237510577 731221471222 1010122570270 1400475021154 1828053678055 3501187552885 3656107356110 3755819374913 7002375105770 7511638749826 18779096874565 37558193749130 41314013124043 82628026248086 206570065620215 413140131240430