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16423241040 = 24325163139939
BaseRepresentation
bin11110100101110011…
…01100010101010000
31120101120020002100200
433102321230111100
5232113322203130
611313355015200
71120661150133
oct172271542520
946346202320
1016423241040
116a68545088
12322413a500
13171967420b
14b1b26621a
15661c4a760
hex3d2e6c550

16423241040 has 120 divisors (see below), whose sum is σ = 55493486880. Its totient is φ = 4352631552.

The previous prime is 16423241027. The next prime is 16423241059. The reversal of 16423241040 is 4014232461.

It is a happy number.

16423241040 is a `hidden beast` number, since 1 + 642 + 3 + 2 + 4 + 10 + 4 + 0 = 666.

16423241040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 16423240995 and 16423241013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47391 + ... + 187329.

It is an arithmetic number, because the mean of its divisors is an integer number (462445724).

Almost surely, 216423241040 is an apocalyptic number.

16423241040 is a gapful number since it is divisible by the number (10) 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 16423241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27746743440).

16423241040 is an abundant number, since it is smaller than the sum of its proper divisors (39070245840).

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

16423241040 is a wasteful number, since it uses less digits than its factorization.

16423241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140121 (or 140112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 16423241040 in words is "sixteen billion, four hundred twenty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 163 180 240 326 360 489 652 720 815 978 1304 1467 1630 1956 2445 2608 2934 3260 3912 4890 5868 6520 7335 7824 9780 11736 13040 14670 19560 23472 29340 39120 58680 117360 139939 279878 419817 559756 699695 839634 1119512 1259451 1399390 1679268 2099085 2239024 2518902 2798780 3358536 4198170 5037804 5597560 6297255 6717072 8396340 10075608 11195120 12594510 16792680 20151216 22810057 25189020 33585360 45620114 50378040 68430171 91240228 100756080 114050285 136860342 182480456 205290513 228100570 273720684 342150855 364960912 410581026 456201140 547441368 684301710 821162052 912402280 1026452565 1094882736 1368603420 1642324104 1824804560 2052905130 2737206840 3284648208 4105810260 5474413680 8211620520 16423241040