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4021414220 = 2251953199673
BaseRepresentation
bin1110111110110001…
…1110100101001100
3101101021000000020102
43233230132211030
531213440223340
61503012510232
7201440312465
oct35754364514
911337000212
104021414220
111783a9002a
1294291b378
134c11ab755
142a2129d6c
151880a5215
hexefb1e94c

4021414220 has 48 divisors (see below), whose sum is σ = 9057212640. Its totient is φ = 1495143936.

The previous prime is 4021414211. The next prime is 4021414259. The reversal of 4021414220 is 224141204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4021414192 and 4021414201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79697 + ... + 119976.

It is an arithmetic number, because the mean of its divisors is an integer number (188691930).

Almost surely, 24021414220 is an apocalyptic number.

It is an amenable number.

4021414220 is an abundant number, since it is smaller than the sum of its proper divisors (5035798420).

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

4021414220 is a wasteful number, since it uses less digits than its factorization.

4021414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199754 (or 199752 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4021414220 is about 63414.6215000925. The cubic root of 4021414220 is about 1590.2287581415.

Adding to 4021414220 its reverse (224141204), we get a palindrome (4245555424).

It can be divided in two parts, 4021414 and 220, that multiplied together give a triangular number (884711080 = T42064).

The spelling of 4021414220 in words is "four billion, twenty-one million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 10070 20140 199673 399346 798692 998365 1996730 3793787 3993460 7587574 10582669 15175148 18968935 21165338 37937870 42330676 52913345 75875740 105826690 201070711 211653380 402141422 804282844 1005353555 2010707110 4021414220