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404213020420 = 2251115196712583
BaseRepresentation
bin1011110000111001111…
…10010011011100000100
31102122100022002222112011
411320130332103130010
523110312013123140
6505405355504004
741126526661246
oct5703476233404
91378308088464
10404213020420
11146475791a60
126640a158004
132c16a425631
14157c7928096
15a7ab6eacea
hex5e1cf93704

404213020420 has 96 divisors (see below), whose sum is σ = 933185949696. Its totient is φ = 145850544000.

The previous prime is 404213020417. The next prime is 404213020429. The reversal of 404213020420 is 24020312404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 404213020391 and 404213020400.

It is not an unprimeable number, because it can be changed into a prime (404213020429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32117449 + ... + 32130031.

It is an arithmetic number, because the mean of its divisors is an integer number (9720686976).

Almost surely, 2404213020420 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 404213020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466592974848).

404213020420 is an abundant number, since it is smaller than the sum of its proper divisors (528972929276).

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

404213020420 is a wasteful number, since it uses less digits than its factorization.

404213020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13721 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 404213020420 its reverse (24020312404), we get a palindrome (428233332824).

The spelling of 404213020420 in words is "four hundred four billion, two hundred thirteen million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 967 1510 1661 1934 3020 3322 3868 4835 6644 8305 9670 10637 12583 16610 19340 21274 25166 33220 42548 50332 53185 62915 106370 125830 138413 146017 212740 251660 276826 292034 553652 584068 692065 730085 1384130 1460170 1606187 1900033 2768260 2920340 3212374 3800066 6424748 7600132 8030935 9500165 12167761 16061870 19000330 20900363 24335522 32123740 38000660 41800726 48671044 60838805 83601452 104501815 121677610 133845371 209003630 243355220 267690742 418007260 535381484 669226855 1338453710 1837331911 2676907420 3674663822 7349327644 9186659555 18373319110 20210651021 36746638220 40421302042 80842604084 101053255105 202106510210 404213020420