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1445054223424 = 26737127686437
BaseRepresentation
bin10101000001110011111…
…100011001010001000000
312010010221022110111002111
4111001303330121101000
5142133432340122144
63023503155025104
7206254535143060
oct25016374312100
95103838414074
101445054223424
11507931489189
121b408989b194
13a6363b21886
144dd261513a0
15278c870e534
hex15073f19440

1445054223424 has 112 divisors (see below), whose sum is σ = 3392255782912. Its totient is φ = 597825349632.

The previous prime is 1445054223407. The next prime is 1445054223443. The reversal of 1445054223424 is 4243224505441.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 1761934 + ... + 2448370.

Almost surely, 21445054223424 is an apocalyptic number.

1445054223424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445054223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696127891456).

1445054223424 is an abundant number, since it is smaller than the sum of its proper divisors (1947201559488).

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

1445054223424 is a wasteful number, since it uses less digits than its factorization.

1445054223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686620 (or 686610 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 1445054223424 its reverse (4243224505441), we get a palindrome (5688278728865).

The spelling of 1445054223424 in words is "one trillion, four hundred forty-five billion, fifty-four million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 127 148 224 254 259 296 448 508 518 592 889 1016 1036 1184 1778 2032 2072 2368 3556 4064 4144 4699 7112 8128 8288 9398 14224 16576 18796 28448 32893 37592 56896 65786 75184 131572 150368 263144 300736 526288 686437 1052576 1372874 2105152 2745748 4805059 5491496 9610118 10982992 19220236 21965984 25398169 38440472 43931968 50796338 76880944 87177499 101592676 153761888 174354998 177787183 203185352 307523776 348709996 355574366 406370704 610242493 697419992 711148732 812741408 1220484986 1394839984 1422297464 1625482816 2440969972 2789679968 2844594928 3225567463 4881939944 5579359936 5689189856 6451134926 9763879888 11378379712 12902269852 19527759776 22578972241 25804539704 39055519552 45157944482 51609079408 90315888964 103218158816 180631777928 206436317632 361263555856 722527111712 1445054223424