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454232042263640 = 235295930449217969
BaseRepresentation
bin110011101000111110010001…
…1100001100101010001011000
32012120022011022000120102010102
41213101330203201211101120
5434014114210304414030
64250023153001234532
7164451116311151054
oct14721744341452130
92176264260512112
10454232042263640
11121806800064473
1242b41267a92a48
131665bb895a4a24
148024d3ba18c64
15377a940256c45
hex19d1f23865458

454232042263640 has 128 divisors (see below), whose sum is σ = 1075224213000000. Its totient is φ = 172447744229376.

The previous prime is 454232042263511. The next prime is 454232042263661. The reversal of 454232042263640 is 46362240232454.

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 31 ways as a sum of consecutive naturals, for example, 2083820576 + ... + 2084038544.

Almost surely, 2454232042263640 is an apocalyptic number.

454232042263640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454232042263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537612106500000).

454232042263640 is an abundant number, since it is smaller than the sum of its proper divisors (620992170736360).

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

454232042263640 is a wasteful number, since it uses less digits than its factorization.

454232042263640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248517 (or 248513 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 47.

The spelling of 454232042263640 in words is "four hundred fifty-four trillion, two hundred thirty-two billion, forty-two million, two hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 472 580 590 1160 1180 1711 2360 3422 6844 8555 13688 17110 30449 34220 60898 68440 121796 152245 217969 243592 304490 435938 608980 871876 883021 1089845 1217960 1743752 1766042 1796491 2179690 3532084 3592982 4359380 4415105 6321101 7064168 7185964 8718760 8830210 8982455 12642202 12860171 14371928 17660420 17964910 25284404 25720342 31605505 35320840 35929820 50568808 51440684 52098239 63211010 64300855 71859640 102881368 104196478 126422020 128601710 208392956 252844040 257203420 260491195 372944959 416785912 514406840 520982390 745889918 1041964780 1491779836 1864724795 2083929560 2983559672 3729449590 6636938081 7458899180 13273876162 14917798360 26547752324 33184690405 53095504648 66369380810 132738761620 192471204349 265477523240 384942408698 391579346779 769884817396 783158693558 962356021745 1539769634792 1566317387116 1924712043490 1957896733895 3132634774232 3849424086980 3915793467790 7698848173960 7831586935580 11355801056591 15663173871160 22711602113182 45423204226364 56779005282955 90846408452728 113558010565910 227116021131820 454232042263640