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444481437101 = 13414371273149
BaseRepresentation
bin1100111011111010010…
…10000111110110101101
31120111021200020111111012
412131331022013312231
524240244221441401
6540105243435005
744053443610052
oct6357512076655
91514250214435
10444481437101
1116155a202469
1272187b25a65
1332bb6c98120
1417727a07029
15b866a538bb
hex677d287dad

444481437101 has 32 divisors (see below), whose sum is σ = 508819449600. Its totient is φ = 385466457600.

The previous prime is 444481437097. The next prime is 444481437107. The reversal of 444481437101 is 101734184444.

It is a cyclic number.

It is not a de Polignac number, because 444481437101 - 22 = 444481437097 is a prime.

It is a super-3 number, since 3×4444814371013 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444481437107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490675 + ... + 1763823.

It is an arithmetic number, because the mean of its divisors is an integer number (15900607800).

Almost surely, 2444481437101 is an apocalyptic number.

444481437101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444481437101 is a deficient number, since it is larger than the sum of its proper divisors (64338012499).

444481437101 is a wasteful number, since it uses less digits than its factorization.

444481437101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273317.

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 444481437101 in words is "four hundred forty-four billion, four hundred eighty-one million, four hundred thirty-seven thousand, one hundred one".

Divisors: 1 13 41 43 71 533 559 923 1763 2911 3053 22919 37843 39689 125173 273149 1627249 3550937 11199109 11745407 19393579 145588417 152690291 252116527 481561687 795136739 833923897 6260301931 10336777607 10841010661 34190879777 444481437101