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4400130030032 = 241128369271573
BaseRepresentation
bin100000000000111110000…
…1011111111100111010000
3120120122111121221021121002
41000001330023333213100
51034042431241430112
613205220345121132
7632620216101332
oct100017413774720
916518447837532
104400130030032
1114470a2766500
125b09367891a8
1325bc13363109
14112d788ad452
15796cdedb1c2
hex4007c2ff9d0

4400130030032 has 60 divisors (see below), whose sum is σ = 9371885668740. Its totient is φ = 1999812756480.

The previous prime is 4400130029959. The next prime is 4400130030073. The reversal of 4400130030032 is 2300300310044.

It can be written as a sum of positive squares in 2 ways, for example, as 3775233456016 + 624896574016 = 1942996^2 + 790504^2 .

It is a super-2 number, since 2×44001300300322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4400130029986 and 4400130030013.

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, 16066598 + ... + 16338170.

It is an arithmetic number, because the mean of its divisors is an integer number (156198094479).

Almost surely, 24400130030032 is an apocalyptic number.

It is an amenable number.

4400130030032 is an abundant number, since it is smaller than the sum of its proper divisors (4971755638708).

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

4400130030032 is a wasteful number, since it uses less digits than its factorization.

4400130030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279972 (or 279955 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 4400130030032 its reverse (2300300310044), we get a palindrome (6700430340076).

The spelling of 4400130030032 in words is "four trillion, four hundred billion, one hundred thirty million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 8369 16738 33476 66952 92059 133904 184118 271573 368236 543146 736472 1012649 1086292 1472944 2025298 2172584 2987303 4050596 4345168 5974606 8101192 11949212 16202384 23898424 32860333 47796848 65720666 131441332 262882664 525765328 2272794437 4545588874 9091177748 18182355496 25000738807 36364710992 50001477614 100002955228 200005910456 275008126877 400011820912 550016253754 1100032507508 2200065015016 4400130030032