Search a number
-
+
420100204032224 = 25711031179343607
BaseRepresentation
bin101111110000101000011001…
…1011011100111000011100000
32001002110012001112021212122022
41133201100303123213003200
5420030410204213012344
64045251211445201012
7154326144453123002
oct13741206333470340
92032405045255568
10420100204032224
11111947550206201
123b14a298400168
13150543826aa941
1475a4d5ba78372
153387b850a30ee
hex17e14336e70e0

420100204032224 has 48 divisors (see below), whose sum is σ = 839534689276416. Its totient is φ = 206890783881600.

The previous prime is 420100204032221. The next prime is 420100204032239. The reversal of 420100204032224 is 422230402001024.

It is a junction number, because it is equal to n+sod(n) for n = 420100204032193 and 420100204032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420100204032221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87329372 + ... + 92014235.

It is an arithmetic number, because the mean of its divisors is an integer number (17490306026592).

Almost surely, 2420100204032224 is an apocalyptic number.

It is an amenable number.

420100204032224 is a deficient number, since it is larger than the sum of its proper divisors (419434485244192).

420100204032224 is a wasteful number, since it uses less digits than its factorization.

420100204032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179344719 (or 179344711 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 420100204032224 its reverse (422230402001024), we get a palindrome (842330606033248).

The spelling of 420100204032224 in words is "four hundred twenty trillion, one hundred billion, two hundred four million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 71 142 284 568 1031 1136 2062 2272 4124 8248 16496 32992 73201 146402 292804 585608 1171216 2342432 179343607 358687214 717374428 1434748856 2869497712 5738995424 12733396097 25466792194 50933584388 101867168776 184903258817 203734337552 369806517634 407468675104 739613035268 1479226070536 2958452141072 5916904282144 13128131376007 26256262752014 52512525504028 105025051008056 210050102016112 420100204032224