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425541205343142 = 232723792422952541
BaseRepresentation
bin110000011000001110000100…
…0011000011011101110100110
32001210201100020021011202220100
41200300130020120123232212
5421234031342031440032
64105014533030244530
7155430223524150600
oct14060341030335646
92053640207152810
10425541205343142
11113655014641889
123b8888a07b6746
131535a49573b555
147712438b60170
15342e483a4497c
hex183070861bba6

425541205343142 has 144 divisors (see below), whose sum is σ = 1075432293608400. Its totient is φ = 121255088814720.

The previous prime is 425541205343063. The next prime is 425541205343173. The reversal of 425541205343142 is 241343502145524.

425541205343142 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 4 + 1 + 205 + 3 + 431 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8099195392 + ... + 8099247932.

It is an arithmetic number, because the mean of its divisors is an integer number (7468279816725).

Almost surely, 2425541205343142 is an apocalyptic number.

425541205343142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 425541205343142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537716146804200).

425541205343142 is an abundant number, since it is smaller than the sum of its proper divisors (649891088265258).

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

425541205343142 is a wasteful number, since it uses less digits than its factorization.

425541205343142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77171 (or 77161 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 425541205343142 its reverse (241343502145524), we get a palindrome (666884707488666).

The spelling of 425541205343142 in words is "four hundred twenty-five trillion, five hundred forty-one billion, two hundred five million, three hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 379 441 758 882 1137 2274 2653 3411 5306 6822 7959 15918 18571 23877 24229 37142 47754 48458 52541 55713 72687 105082 111426 145374 157623 167139 169603 218061 315246 334278 339206 367787 436122 472869 508809 735574 945738 1017618 1103361 1187221 1526427 2206722 2374442 2574509 3052854 3310083 3561663 5149018 6620166 7123326 7723527 9182791 10684989 15447054 18365582 19913039 21369978 23170581 27548373 39826078 46341162 55096746 59739117 64279537 82645119 119478234 128559074 139391273 165290238 179217351 192838611 278782546 358434702 385677222 418173819 449956759 578515833 836347638 899913518 975738911 1157031666 1254521457 1273015889 1349870277 1951477822 2509042914 2546031778 2699740554 2927216733 3819047667 4049610831 5854433466 7638095334 8099221662 8781650199 8911111223 11457143001 17563300398 17822222446 22914286002 26733333669 53466667338 62377778561 80200001007 124755557122 160400002014 187133335683 374266671366 482473021931 561400007049 964946043862 1122800014098 1447419065793 2894838131586 3377311153517 4342257197379 6754622307034 8684514394758 10131933460551 20263866921102 23641178074619 30395800381653 47282356149238 60791600763306 70923534223857 141847068447714 212770602671571 425541205343142