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1444680920771 = 1110334734910529
BaseRepresentation
bin10101000001011101101…
…100010110111011000011
312010002222022000202010022
4111001131230112323003
5142132201303431041
63023402141524055
7206242353133124
oct25013554267303
95102868022108
101444680920771
1150775a7983a0
121b3ba487362b
13a6304699c2a
144dccc73a04b
15278a5a7124b
hex1505db16ec3

1444680920771 has 32 divisors (see below), whose sum is σ = 1600627392000. Its totient is φ = 1293008532480.

The previous prime is 1444680920747. The next prime is 1444680920783. The reversal of 1444680920771 is 1770290864441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1444680920771 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1444680920071) 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, 137204435 + ... + 137214963.

It is an arithmetic number, because the mean of its divisors is an integer number (50019606000).

Almost surely, 21444680920771 is an apocalyptic number.

1444680920771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1444680920771 is a deficient number, since it is larger than the sum of its proper divisors (155946471229).

1444680920771 is a wasteful number, since it uses less digits than its factorization.

1444680920771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339.

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 1444680920771 in words is "one trillion, four hundred forty-four billion, six hundred eighty million, nine hundred twenty thousand, seven hundred seventy-one".

Divisors: 1 11 103 347 349 1133 3817 3839 10529 35741 35947 115819 121103 393151 395417 1084487 1332133 3653563 3674621 11929357 12473609 40189193 40420831 137209699 376316989 378485963 1275093487 4139486879 4163345593 14026028357 131334629161 1444680920771