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444073370444 = 2211101147167931
BaseRepresentation
bin1100111011001001101…
…01011110001101001100
31120110020020101120021022
412131210311132031030
524233430240323234
6540000545253312
744040360240254
oct6354465361514
91513206346238
10444073370444
1116136a9279a0
1272093334238
1332b50590c72
14176c9742964
15b840ce9e2e
hex6764d5e34c

444073370444 has 48 divisors (see below), whose sum is σ = 856764905472. Its totient is φ = 199714200000.

The previous prime is 444073370441. The next prime is 444073370449.

444073370444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 444073370395 and 444073370404.

It is not an unprimeable number, because it can be changed into a prime (444073370441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6503159 + ... + 6571089.

It is an arithmetic number, because the mean of its divisors is an integer number (17849268864).

Almost surely, 2444073370444 is an apocalyptic number.

444073370444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444073370444 is a deficient number, since it is larger than the sum of its proper divisors (412691535028).

444073370444 is a wasteful number, since it uses less digits than its factorization.

444073370444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69518 (or 69516 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 44.

The spelling of 444073370444 in words is "four hundred forty-four billion, seventy-three million, three hundred seventy thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 202 404 1111 1471 2222 2942 4444 5884 16181 32362 64724 67931 135862 148571 271724 297142 594284 747241 1494482 1634281 2988964 3268562 6537124 6861031 13722062 27444124 75471341 99926501 150942682 199853002 301885364 399706004 1099191511 2198383022 4396766044 10092576601 20185153202 40370306404 111018342611 222036685222 444073370444