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130334305101444 = 2232148722129110023
BaseRepresentation
bin11101101000100111010001…
…111101010010011010000100
3122002110211121211001000211200
4131220213101331102122010
5114040344124101221234
61141110430404302500
736311225403164133
oct3550472175223204
9562424554030750
10130334305101444
113858a51746aa34
121274b7b30a1a30
13579561a663392
1424282dd3dd91a
1510104637c1d99
hex7689d1f52684

130334305101444 has 72 divisors (see below), whose sum is σ = 329695612296960. Its totient is φ = 43413195462912.

The previous prime is 130334305101389. The next prime is 130334305101487. The reversal of 130334305101444 is 444101503433031.

130334305101444 is a `hidden beast` number, since 1 + 3 + 0 + 33 + 430 + 51 + 0 + 144 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130334305101399 and 130334305101408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184554617 + ... + 1184664639.

Almost surely, 2130334305101444 is an apocalyptic number.

It is an amenable number.

130334305101444 is an abundant number, since it is smaller than the sum of its proper divisors (199361307195516).

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

130334305101444 is a wasteful number, since it uses less digits than its factorization.

130334305101444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133649 (or 133644 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 130334305101444 its reverse (444101503433031), we get a palindrome (574435808534475).

The spelling of 130334305101444 in words is "one hundred thirty trillion, three hundred thirty-four billion, three hundred five million, one hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1487 2974 4461 5948 8922 13383 17844 22129 26766 44258 53532 66387 88516 110023 132774 199161 220046 265548 330069 398322 440092 660138 796644 990207 1320276 1980414 3960828 32905823 65811646 98717469 131623292 163604201 197434938 296152407 327208402 394869876 490812603 592304814 654416804 981625206 1184609628 1472437809 1963250412 2434698967 2944875618 4869397934 5889751236 7304096901 9738795868 14608193802 21912290703 29216387604 43824581406 87649162812 3620397363929 7240794727858 10861192091787 14481589455716 21722384183574 32583576275361 43444768367148 65167152550722 130334305101444