Search a number
-
+
1450635443232 = 253109383361961
BaseRepresentation
bin10101000111000000100…
…111000011110000100000
312010200100021111211100020
4111013000213003300200
5142231400133140412
63030225051553440
7206543045550663
oct25070047036040
95120307454306
101450635443232
1150a235987238
121b5186a5b880
13a6a43201bc1
14502d54ab6da
1527b036c418c
hex151c09c3c20

1450635443232 has 96 divisors (see below), whose sum is σ = 3852897269760. Its totient is φ = 477856696320.

The previous prime is 1450635443209. The next prime is 1450635443239. The reversal of 1450635443232 is 2323445360541.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1450635443239) 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, 3826732 + ... + 4188692.

It is an arithmetic number, because the mean of its divisors is an integer number (40134346560).

Almost surely, 21450635443232 is an apocalyptic number.

1450635443232 is a gapful number since it is divisible by the number (12) 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 1450635443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926448634880).

1450635443232 is an abundant number, since it is smaller than the sum of its proper divisors (2402261826528).

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

1450635443232 is a wasteful number, since it uses less digits than its factorization.

1450635443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362466 (or 362458 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 1450635443232 in words is "one trillion, four hundred fifty billion, six hundred thirty-five million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 383 436 654 766 872 1149 1308 1532 1744 2298 2616 3064 3488 4596 5232 6128 9192 10464 12256 18384 36768 41747 83494 125241 166988 250482 333976 361961 500964 667952 723922 1001928 1085883 1335904 1447844 2003856 2171766 2895688 4007712 4343532 5791376 8687064 11582752 17374128 34748256 39453749 78907498 118361247 138631063 157814996 236722494 277262126 315629992 415893189 473444988 554524252 631259984 831786378 946889976 1109048504 1262519968 1663572756 1893779952 2218097008 3327145512 3787559904 4436194016 6654291024 13308582048 15110785867 30221571734 45332357601 60443143468 90664715202 120886286936 181329430404 241772573872 362658860808 483545147744 725317721616 1450635443232