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4014223313232 = 2431183523175141
BaseRepresentation
bin111010011010100010010…
…110101100100101010000
3112012202102010100212200010
4322122202112230211100
51011232112132010412
612312035252554520
7563006124114456
oct72324226544520
915182363325603
104014223313232
1113084714563a0
12549b97322a40
13231702765102
14dc40a3469d6
156e644a0033c
hex3a6a25ac950

4014223313232 has 160 divisors (see below), whose sum is σ = 11471066804736. Its totient is φ = 1199470809600.

The previous prime is 4014223313231. The next prime is 4014223313267. The reversal of 4014223313232 is 2323133224104.

It is a happy number.

It is a super-2 number, since 2×40142233132322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014223313232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014223313231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22832382 + ... + 23007522.

Almost surely, 24014223313232 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 4014223313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735533402368).

4014223313232 is an abundant number, since it is smaller than the sum of its proper divisors (7456843491504).

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

4014223313232 is a wasteful number, since it uses less digits than its factorization.

4014223313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175769 (or 175763 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4014223313232 its reverse (2323133224104), we get a palindrome (6337356537336).

The spelling of 4014223313232 in words is "four trillion, fourteen billion, two hundred twenty-three million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 523 528 664 913 996 1046 1328 1569 1826 1992 2092 2739 3138 3652 3984 4184 5478 5753 6276 7304 8368 10956 11506 12552 14608 17259 21912 23012 25104 34518 43409 43824 46024 69036 86818 92048 130227 138072 173636 175141 260454 276144 347272 350282 477499 520908 525423 694544 700564 954998 1041816 1050846 1401128 1432497 1909996 1926551 2083632 2101692 2802256 2864994 3819992 3853102 4203384 5729988 5779653 7639984 7706204 8406768 11459976 11559306 14536703 15412408 22919952 23118612 29073406 30824816 43610109 46237224 58146812 87220218 91598743 92474448 116293624 159903733 174440436 183197486 232587248 274796229 319807466 348880872 366394972 479711199 549592458 639614932 697761744 732789944 959422398 1007586173 1099184916 1279229864 1465579888 1918844796 2015172346 2198369832 2558459728 3022758519 3837689592 4030344692 4396739664 6045517038 7602695669 7675379184 8060689384 12091034076 15205391338 16121378768 22808087007 24182068152 30410782676 45616174014 48364136304 60821565352 83629652359 91232348028 121643130704 167259304718 182464696056 250888957077 334518609436 364929392112 501777914154 669037218872 1003555828308 1338074437744 2007111656616 4014223313232