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424040304423240 = 233352391642802977
BaseRepresentation
bin110000001101010011001001…
…1101101110011000101001000
32001121101212010220022011102000
41200122212103231303011020
5421034434020413020430
64101505232050511000
7155213621020632441
oct14032462355630510
92047355126264360
10424040304423240
11113126535158a9a
123b685a27b95460
131527baa179895b
14769d9359b82c8
1534053dc53ae60
hex181a993b73148

424040304423240 has 128 divisors (see below), whose sum is σ = 1419381772992000. Its totient is φ = 112604287186944.

The previous prime is 424040304423217. The next prime is 424040304423277. The reversal of 424040304423240 is 42324403040424.

424040304423240 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 403 + 0 + 4 + 4 + 2 + 3 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424040304423195 and 424040304423204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821143369 + ... + 821659608.

It is an arithmetic number, because the mean of its divisors is an integer number (11088920101500).

Almost surely, 2424040304423240 is an apocalyptic number.

424040304423240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424040304423240 is an abundant number, since it is smaller than the sum of its proper divisors (995341468568760).

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

424040304423240 is a wasteful number, since it uses less digits than its factorization.

424040304423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642803236 (or 1642803226 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 424040304423240 its reverse (42324403040424), we get a palindrome (466364707463664).

The spelling of 424040304423240 in words is "four hundred twenty-four trillion, forty billion, three hundred four million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 239 270 360 478 540 717 956 1080 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 6453 7170 8604 9560 10755 12906 14340 17208 21510 25812 28680 32265 43020 51624 64530 86040 129060 258120 1642802977 3285605954 4928408931 6571211908 8214014885 9856817862 13142423816 14785226793 16428029770 19713635724 24642044655 29570453586 32856059540 39427271448 44355680379 49284089310 59140907172 65712119080 73926133965 88711360758 98568178620 118281814344 147852267930 177422721516 197136357240 221778401895 295704535860 354845443032 392629911503 443556803790 591409071720 785259823006 887113607580 1177889734509 1570519646012 1774227215160 1963149557515 2355779469018 3141039292024 3533669203527 3926299115030 4711558938036 5889448672545 7067338407054 7852598230060 9423117876072 10601007610581 11778897345090 14134676814108 15705196460120 17668346017635 21202015221162 23557794690180 28269353628216 35336692035270 42404030442324 47115589380360 53005038052905 70673384070540 84808060884648 106010076105810 141346768141080 212020152211620 424040304423240