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420431154323153 = 17320272459348751
BaseRepresentation
bin101111110011000010100000…
…1100110110001111011010001
32001010121211022000122120211212
41133212011001212301323101
5420101321001001320103
64050103223402345505
7154362101640151601
oct13746050146617321
92033554260576755
10420431154323153
11111a6493aaa8136
123b1a245aabb295
131507964572595c
1475b6d95512c01
1533915a49ed7d8
hex17e61419b1ed1

420431154323153 has 16 divisors (see below), whose sum is σ = 423095888007936. Its totient is φ = 417769141920000.

The previous prime is 420431154323149. The next prime is 420431154323171. The reversal of 420431154323153 is 351323451134024.

It is a cyclic number.

It is not a de Polignac number, because 420431154323153 - 22 = 420431154323149 is a prime.

It is a super-2 number, since 2×4204311543231532 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420431154323153.

It is not an unprimeable number, because it can be changed into a prime (420431154323113) 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, 8624027528 + ... + 8624076278.

It is an arithmetic number, because the mean of its divisors is an integer number (26443493000496).

Almost surely, 2420431154323153 is an apocalyptic number.

It is an amenable number.

420431154323153 is a deficient number, since it is larger than the sum of its proper divisors (2664733684783).

420431154323153 is a wasteful number, since it uses less digits than its factorization.

420431154323153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75544.

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 420431154323153 in words is "four hundred twenty trillion, four hundred thirty-one billion, one hundred fifty-four million, three hundred twenty-three thousand, one hundred fifty-three".

Divisors: 1 173 2027 24593 48751 350671 4254589 8433923 49850011 98818277 1198933343 8624051903 17095561921 207415468339 2430237886261 420431154323153