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404220000420 = 223258632602163
BaseRepresentation
bin1011110000111010110…
…00111011100010100100
31102122100210020121021200
411320131120323202210
523110320310003140
6505410205242500
741126643212145
oct5703530734244
91378323217250
10404220000420
1114647971a155
1266410563430
132c16b9ca702
14157c8823acc
15a7ac129030
hex5e1d63b8a4

404220000420 has 72 divisors (see below), whose sum is σ = 1227555254016. Its totient is φ = 107667054912.

The previous prime is 404220000419. The next prime is 404220000497. The reversal of 404220000420 is 24000022404.

404220000420 is a `hidden beast` number, since 4 + 0 + 42 + 200 + 0 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404220000393 and 404220000402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145742 + ... + 1456421.

It is an arithmetic number, because the mean of its divisors is an integer number (17049378528).

Almost surely, 2404220000420 is an apocalyptic number.

It is an amenable number.

404220000420 is an abundant number, since it is smaller than the sum of its proper divisors (823335253596).

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

404220000420 is a wasteful number, since it uses less digits than its factorization.

404220000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603041 (or 2603036 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 404220000420 its reverse (24000022404), we get a palindrome (428220022824).

The spelling of 404220000420 in words is "four hundred four billion, two hundred twenty million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 863 1726 2589 3452 4315 5178 7767 8630 10356 12945 15534 17260 25890 31068 38835 51780 77670 155340 2602163 5204326 7806489 10408652 13010815 15612978 23419467 26021630 31225956 39032445 46838934 52043260 78064890 93677868 117097335 156129780 234194670 468389340 2245666669 4491333338 6737000007 8982666676 11228333345 13474000014 20211000021 22456666690 26948000028 33685000035 40422000042 44913333380 67370000070 80844000084 101055000105 134740000140 202110000210 404220000420