Search a number
-
+
423203331421032 = 233434872250137423
BaseRepresentation
bin110000000111001101011010…
…0001111001011001101101000
32001111102211202210221022021020
41200032122310033023031220
5420432230410320433112
64100024532042412440
7155066301033535161
oct14016326417131550
92044384683838236
10423203331421032
11112933585776528
123b56b783501120
131521ab979148a6
1476712170b8768
1533dd75338a48c
hex180e6b43cb368

423203331421032 has 128 divisors (see below), whose sum is σ = 1084913400975360. Its totient is φ = 137494415520000.

The previous prime is 423203331421007. The next prime is 423203331421033. The reversal of 423203331421032 is 230124133302324.

It is a super-3 number, since 3×4232033314210323 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423203331420984 and 423203331421002.

It is not an unprimeable number, because it can be changed into a prime (423203331421033) by changing a digit.

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, 11308623873 + ... + 11308661295.

It is an arithmetic number, because the mean of its divisors is an integer number (8475885945120).

Almost surely, 2423203331421032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423203331421032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542456700487680).

423203331421032 is an abundant number, since it is smaller than the sum of its proper divisors (661710069554328).

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

423203331421032 is a wasteful number, since it uses less digits than its factorization.

423203331421032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60463 (or 60459 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 423203331421032 its reverse (230124133302324), we get a palindrome (653327464723356).

The spelling of 423203331421032 in words is "four hundred twenty-three trillion, two hundred three billion, three hundred thirty-one million, four hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 487 516 974 1032 1461 1948 2922 3896 5844 11688 20941 22501 37423 41882 45002 62823 67503 74846 83764 90004 112269 125646 135006 149692 167528 180008 224538 251292 270012 299384 449076 502584 540024 898152 967543 1609189 1935086 2902629 3218378 3870172 4827567 5805258 6436756 7740344 9655134 10957987 11610516 12873512 18225001 19310268 21915974 23221032 32873961 36450002 38620536 43831948 54675003 65747922 72900004 87663896 109350006 131495844 145800008 218700012 262991688 437400024 471193441 783675043 842054923 942386882 1413580323 1567350086 1684109846 1884773764 2351025129 2526164769 2827160646 3134700172 3368219692 3769547528 4702050258 5052329538 5654321292 6269400344 6736439384 9404100516 10104659076 11308642584 18808201032 20209318152 36208361689 72416723378 108625085067 144833446756 217250170134 289666893512 410080747501 434500340268 820161495002 869000680536 1230242242503 1640322990004 2460484485006 3280645980008 4920968970012 9841937940024 17633472142543 35266944285086 52900416427629 70533888570172 105800832855258 141067777140344 211601665710516 423203331421032