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1330332223240 = 235434738342967
BaseRepresentation
bin10011010110111101111…
…110101100011100001000
311201011211010210001012201
4103112331332230130020
5133244010022120430
62455051324245544
7165053605215166
oct23267576543410
94634733701181
101330332223240
11473210949489
121959b16a08b4
13985b0260227
1448561b94236
1524911cc58ca
hex135bdfac708

1330332223240 has 128 divisors (see below), whose sum is σ = 3136265256960. Its totient is φ = 507359026944.

The previous prime is 1330332223217. The next prime is 1330332223307. The reversal of 1330332223240 is 423222330331.

It is a junction number, because it is equal to n+sod(n) for n = 1330332223199 and 1330332223208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30940237 + ... + 30983203.

It is an arithmetic number, because the mean of its divisors is an integer number (24502072320).

Almost surely, 21330332223240 is an apocalyptic number.

1330332223240 is a gapful number since it is divisible by the number (10) 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 1330332223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568132628480).

1330332223240 is an abundant number, since it is smaller than the sum of its proper divisors (1805933033720).

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

1330332223240 is a wasteful number, since it uses less digits than its factorization.

1330332223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43451 (or 43447 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 1330332223240 its reverse (423222330331), we get a palindrome (1753554553571).

The spelling of 1330332223240 in words is "one trillion, three hundred thirty billion, three hundred thirty-two million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 47 86 94 172 188 215 235 344 376 383 430 470 766 860 940 1532 1720 1880 1915 2021 3064 3830 4042 7660 8084 10105 15320 16168 16469 18001 20210 32938 36002 40420 42967 65876 72004 80840 82345 85934 90005 131752 144008 164690 171868 180010 214835 329380 343736 360020 429670 658760 720040 774043 859340 1548086 1718680 1847581 2019449 3096172 3695162 3870215 4038898 6192344 7390324 7740430 8077796 9237905 10097245 14780648 15480860 16155592 16456361 18475810 20194490 30961720 32912722 36951620 40388980 65825444 73903240 80777960 82281805 86836307 131650888 164563610 173672614 329127220 347345228 434181535 658254440 694690456 707623523 773448967 868363070 1415247046 1546897934 1736726140 2830494092 3093795868 3473452280 3538117615 3867244835 5660988184 6187591736 7076235230 7734489670 14152470460 15468979340 28304940920 30937958680 33258305581 66516611162 133033222324 166291527905 266066444648 332583055810 665166111620 1330332223240