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444004142202 = 232414911225319
BaseRepresentation
bin1100111011000001011…
…01011000110001111010
31120110001102010101222100
412131200231120301322
524233310030022302
6535550033404230
744035556636535
oct6354055306172
91513042111870
10444004142202
11161334843775
1272074109676
1332b3c1327ca
14176c0481a1c
15b839bc2d1c
hex6760b58c7a

444004142202 has 48 divisors (see below), whose sum is σ = 987480486720. Its totient is φ = 144097396800.

The previous prime is 444004142149. The next prime is 444004142237. The reversal of 444004142202 is 202241400444.

444004142202 is a `hidden beast` number, since 4 + 4 + 40 + 0 + 414 + 2 + 202 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250302 + ... + 975017.

It is an arithmetic number, because the mean of its divisors is an integer number (20572510140).

Almost surely, 2444004142202 is an apocalyptic number.

444004142202 is an abundant number, since it is smaller than the sum of its proper divisors (543476344518).

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

444004142202 is a wasteful number, since it uses less digits than its factorization.

444004142202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225859 (or 1225856 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 444004142202 its reverse (202241400444), we get a palindrome (646245542646).

The spelling of 444004142202 in words is "four hundred forty-four billion, four million, one hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 491 738 982 1473 2946 4419 8838 20131 40262 60393 120786 181179 362358 1225319 2450638 3675957 7351914 11027871 22055742 50238079 100476158 150714237 301428474 452142711 601631629 904285422 1203263258 1804894887 3609789774 5414684661 10829369322 24666896789 49333793578 74000690367 148001380734 222002071101 444004142202