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1332332213328 = 2432233591120541
BaseRepresentation
bin10011011000110101001…
…100000011010001010000
311201100222112010001211200
4103120311030003101100
5133312104021311303
62500022011111200
7165154301646114
oct23306514032120
94640875101750
101332332213328
11474047889656
1219626b442500
139883b702c0c
14486b1649744
15249cc6853a3
hex13635303450

1332332213328 has 120 divisors (see below), whose sum is σ = 3901637600640. Its totient is φ = 423617905920.

The previous prime is 1332332213327. The next prime is 1332332213369. The reversal of 1332332213328 is 8233122332331.

1332332213328 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 322 + 1 + 3 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1332332213292 and 1332332213301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332332213327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628738 + ... + 1749278.

It is an arithmetic number, because the mean of its divisors is an integer number (32513646672).

Almost surely, 21332332213328 is an apocalyptic number.

1332332213328 is a gapful number since it is divisible by the number (18) 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 1332332213328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950818800320).

1332332213328 is an abundant number, since it is smaller than the sum of its proper divisors (2569305387312).

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

1332332213328 is a wasteful number, since it uses less digits than its factorization.

1332332213328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120937 (or 1120928 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 1332332213328 its reverse (8233122332331), we get a palindrome (9565454545659).

The spelling of 1332332213328 in words is "one trillion, three hundred thirty-two billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 359 368 414 552 718 828 1077 1104 1436 1656 2154 2872 3231 3312 4308 5744 6462 8257 8616 12924 16514 17232 24771 25848 33028 49542 51696 66056 74313 99084 132112 148626 198168 297252 396336 594504 1120541 1189008 2241082 3361623 4482164 6723246 8964328 10084869 13446492 17928656 20169738 25772443 26892984 40339476 51544886 53785968 77317329 80678952 103089772 154634658 161357904 206179544 231951987 309269316 402274219 412359088 463903974 618538632 804548438 927807948 1206822657 1237077264 1609096876 1855615896 2413645314 3218193752 3620467971 3711231792 4827290628 6436387504 7240935942 9252307037 9654581256 14481871884 18504614074 19309162512 27756921111 28963743768 37009228148 55513842222 57927487536 74018456296 83270763333 111027684444 148036912592 166541526666 222055368888 333083053332 444110737776 666166106664 1332332213328