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1444073351440 = 24531357670661
BaseRepresentation
bin10101000000111001011…
…110101010100100010000
312010001101221210000200111
4111000321132222210100
5142124430234221230
63023221555331104
7206221324650016
oct25007136524420
95101357700614
101444073351440
1150747883a585
121b3a552b0a94
13a6238850c55
144dc71b828b6
152786c55a92a
hex150397aa910

1444073351440 has 40 divisors (see below), whose sum is σ = 3368197343448. Its totient is φ = 575783869440.

The previous prime is 1444073351387. The next prime is 1444073351459. The reversal of 1444073351440 is 441533704441.

It can be written as a sum of positive squares in 4 ways, for example, as 159459656976 + 1284613694464 = 399324^2 + 1133408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1444073351393 and 1444073351402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28810291 + ... + 28860370.

Almost surely, 21444073351440 is an apocalyptic number.

1444073351440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444073351440 is an abundant number, since it is smaller than the sum of its proper divisors (1924123992008).

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

1444073351440 is a wasteful number, since it uses less digits than its factorization.

1444073351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57670987 (or 57670981 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 1444073351440 in words is "one trillion, four hundred forty-four billion, seventy-three million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2504 3130 5008 6260 12520 25040 57670661 115341322 230682644 288353305 461365288 576706610 922730576 1153413220 2306826440 4613652880 18050916893 36101833786 72203667572 90254584465 144407335144 180509168930 288814670288 361018337860 722036675720 1444073351440