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404220153105042 = 23317931387888811
BaseRepresentation
bin101101111101000101101011…
…0101000110000101010010010
31222000020001212110212022110020
41123322023112220300222102
5410440220333143330132
63551412101430044310
7151066641134310651
oct13372132650605222
91860201773768406
10404220153105042
1110788489348057a
12394046a74a9696
1314471a48988581
1471b6507407198
1531aea6196d52c
hex16fa2d6a30a92

404220153105042 has 64 divisors (see below), whose sum is σ = 847782511656960. Its totient is φ = 128331724809600.

The previous prime is 404220153105001. The next prime is 404220153105047. The reversal of 404220153105042 is 240501351022404.

It is a super-3 number, since 3×4042201531050423 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404220153104994 and 404220153105012.

It is not an unprimeable number, because it can be changed into a prime (404220153105047) 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, 39345184 + ... + 48543627.

It is an arithmetic number, because the mean of its divisors is an integer number (13246601744640).

Almost surely, 2404220153105042 is an apocalyptic number.

404220153105042 is an abundant number, since it is smaller than the sum of its proper divisors (443562358551918).

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

404220153105042 is a wasteful number, since it uses less digits than its factorization.

404220153105042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87889239.

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 404220153105042 in words is "four hundred four trillion, two hundred twenty billion, one hundred fifty-three million, one hundred five thousand, forty-two".

Divisors: 1 2 3 6 31 62 79 93 158 186 237 313 474 626 939 1878 2449 4898 7347 9703 14694 19406 24727 29109 49454 58218 74181 148362 766537 1533074 2299611 4599222 87888811 175777622 263666433 527332866 2724553141 5449106282 6943216069 8173659423 13886432138 16347318846 20829648207 27509197843 41659296414 55018395686 82527593529 165055187058 215239698139 430479396278 645719094417 852785133133 1291438188834 1705570266266 2173226629597 2558355399399 4346453259194 5116710798798 6519679888791 13039359777582 67370025517507 134740051035014 202110076552521 404220153105042