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404420400216 = 23327802421429
BaseRepresentation
bin1011110001010010101…
…01011001010001011000
31102122212202022222010100
411320221111121101120
523111223110301331
6505442124415400
741134625453130
oct5705125312130
91378782288110
10404420400216
11146571855518
12664676a7560
132c1a1394981
14158072abac0
15a7bea11ae6
hex5e29559458

404420400216 has 48 divisors (see below), whose sum is σ = 1251777430800. Its totient is φ = 115548685632.

The previous prime is 404420400193. The next prime is 404420400221. The reversal of 404420400216 is 612004024404.

It is a happy number.

404420400216 is a `hidden beast` number, since 4 + 0 + 4 + 42 + 0 + 400 + 216 = 666.

It is a super-2 number, since 2×4044204002162 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404420400216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401210211 + ... + 401211218.

It is an arithmetic number, because the mean of its divisors is an integer number (26078696475).

Almost surely, 2404420400216 is an apocalyptic number.

It is an amenable number.

404420400216 is an abundant number, since it is smaller than the sum of its proper divisors (847357030584).

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

404420400216 is a wasteful number, since it uses less digits than its factorization.

404420400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802421448 (or 802421441 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 404420400216 in words is "four hundred four billion, four hundred twenty million, four hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 802421429 1604842858 2407264287 3209685716 4814528574 5616950003 6419371432 7221792861 9629057148 11233900006 14443585722 16850850009 19258114296 22467800012 28887171444 33701700018 44935600024 50552550027 57774342888 67403400036 101105100054 134806800072 202210200108 404420400216