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424334223234240 = 26351140183165079
BaseRepresentation
bin110000001111011100000001…
…0101001000101010011000000
32001122102221210121101210002220
41200132320002221011103000
5421104242442121443430
64102252241231011040
7155244064424412114
oct14036700251052300
92048387717353086
10424334223234240
1111322a151710a60
123b712994969a80
13152a0712773177
1476adc59215744
15340cd90dc6110
hex181ee02a454c0

424334223234240 has 112 divisors (see below), whose sum is σ = 1469739445966080. Its totient is φ = 102868902599680.

The previous prime is 424334223234239. The next prime is 424334223234241. The reversal of 424334223234240 is 42432322433424.

It is an interprime number because it is at equal distance from previous prime (424334223234239) and next prime (424334223234241).

It is a junction number, because it is equal to n+sod(n) for n = 424334223234192 and 424334223234201.

It is not an unprimeable number, because it can be changed into a prime (424334223234241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20091571980 + ... + 20091593099.

Almost surely, 2424334223234240 is an apocalyptic number.

424334223234240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424334223234240 is an abundant number, since it is smaller than the sum of its proper divisors (1045405222731840).

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

424334223234240 is a wasteful number, since it uses less digits than its factorization.

424334223234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40183165110 (or 40183165100 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 424334223234240 its reverse (42432322433424), we get a palindrome (466766545667664).

The spelling of 424334223234240 in words is "four hundred twenty-four trillion, three hundred thirty-four billion, two hundred twenty-three million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 40183165079 80366330158 120549495237 160732660316 200915825395 241098990474 321465320632 401831650790 442014815869 482197980948 602747476185 642930641264 803663301580 884029631738 964395961896 1205494952370 1285861282528 1326044447607 1607326603160 1768059263476 1928791923792 2210074079345 2410989904740 2571722565056 2652088895214 3214653206320 3536118526952 3857583847584 4420148158690 4821979809480 5304177790428 6429306412640 6630222238035 7072237053904 7715167695168 8840296317380 9643959618960 10608355580856 12858612825280 13260444476070 14144474107808 17680592634760 19287919237920 21216711161712 26520888952140 28288948215616 35361185269520 38575838475840 42433422323424 53041777904280 70722370539040 84866844646848 106083555808560 141444741078080 212167111617120 424334223234240