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1330340421432 = 2331141122906543
BaseRepresentation
bin10011010110111110011…
…101111101111100111000
311201011211201012120000110
4103112332131331330320
5133244014121441212
62455052220104320
7165054035001501
oct23267635757470
94634751176013
101330340421432
11473215538950
121959b43950a0
13985b1b70929
1448562cc9ba8
1524912894a3c
hex135be77df38

1330340421432 has 64 divisors (see below), whose sum is σ = 3716693890560. Its totient is φ = 393300934400.

The previous prime is 1330340421407. The next prime is 1330340421439. The reversal of 1330340421432 is 2341240430331.

It is a happy number.

It is a super-3 number, since 3×13303404214323 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1330340421432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330340421439) 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, 61442448 + ... + 61464095.

It is an arithmetic number, because the mean of its divisors is an integer number (58073342040).

Almost surely, 21330340421432 is an apocalyptic number.

1330340421432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330340421432 is an abundant number, since it is smaller than the sum of its proper divisors (2386353469128).

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

1330340421432 is a wasteful number, since it uses less digits than its factorization.

1330340421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122906604 (or 122906600 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1330340421432 its reverse (2341240430331), we get a palindrome (3671580851763).

The spelling of 1330340421432 in words is "one trillion, three hundred thirty billion, three hundred forty million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 122906543 245813086 368719629 491626172 737439258 983252344 1351971973 1474878516 2703943946 2949757032 4055915919 5039168263 5407887892 8111831838 10078336526 10815775784 15117504789 16223663676 20156673052 30235009578 32447327352 40313346104 55430850893 60470019156 110861701786 120940038312 166292552679 221723403572 332585105358 443446807144 665170210716 1330340421432