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444012403303400 = 235222093910048303
BaseRepresentation
bin110010011110100111011000…
…1100100110010001111101000
32011020010011121210212220222212
41210331032301210302033220
5431144144400221202100
64212200252051104252
7162344560162236551
oct14475166144621750
92136104553786885
10444012403303400
1111952666a3157a8
12419706b35a2088
131609a2614a2809
147b9045a465328
15364ebacb8d635
hex193d3b19323e8

444012403303400 has 48 divisors (see below), whose sum is σ = 1032333612878400. Its totient is φ = 177604139782080.

The previous prime is 444012403303369. The next prime is 444012403303411. The reversal of 444012403303400 is 4303304210444.

It is a super-2 number, since 2×4440124033034002 (a number of 30 digits) contains 22 as substring.

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, 39163649 + ... + 49211951.

It is an arithmetic number, because the mean of its divisors is an integer number (21506950268300).

Almost surely, 2444012403303400 is an apocalyptic number.

444012403303400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444012403303400 is an abundant number, since it is smaller than the sum of its proper divisors (588321209575000).

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

444012403303400 is a wasteful number, since it uses less digits than its factorization.

444012403303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10269258 (or 10269249 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 444012403303400 its reverse (4303304210444), we get a palindrome (448315707513844).

The spelling of 444012403303400 in words is "four hundred forty-four trillion, twelve billion, four hundred three million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 220939 441878 883756 1104695 1767512 2209390 4418780 5523475 8837560 10048303 11046950 20096606 22093900 40193212 44187800 50241515 80386424 100483030 200966060 251207575 401932120 502415150 1004830300 2009660600 2220062016517 4440124033034 8880248066068 11100310082585 17760496132136 22200620165170 44401240330340 55501550412925 88802480660680 111003100825850 222006201651700 444012403303400