Search a number
-
+
1342709751680 = 27511190725817
BaseRepresentation
bin10011100010011111101…
…111001101111110000000
311202100202202021122012222
4103202133233031332000
5133444332144023210
62504455441510212
7166002412402013
oct23423757157600
94670682248188
101342709751680
11478492717830
12198286942368
1399803698c5b
1448db79a737a
1524dd876b655
hex1389fbcdf80

1342709751680 has 64 divisors (see below), whose sum is σ = 3501726018480. Its totient is φ = 488258088960.

The previous prime is 1342709751661. The next prime is 1342709751689. The reversal of 1342709751680 is 861579072431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342709751689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 95355869 + ... + 95369948.

It is a 1-persistent number, because it is pandigital, but 2⋅1342709751680 = 2685419503360 is not.

Almost surely, 21342709751680 is an apocalyptic number.

1342709751680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342709751680 is an abundant number, since it is smaller than the sum of its proper divisors (2159016266800).

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

1342709751680 is a wasteful number, since it uses less digits than its factorization.

1342709751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190725847 (or 190725835 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 1342709751680 in words is "one trillion, three hundred forty-two billion, seven hundred nine million, seven hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 190725817 381451634 762903268 953629085 1525806536 1907258170 2097983987 3051613072 3814516340 4195967974 6103226144 7629032680 8391935948 10489919935 12206452288 15258065360 16783871896 20979839870 24412904576 30516130720 33567743792 41959679740 61032261440 67135487584 83919359480 122064522880 134270975168 167838718960 268541950336 335677437920 671354875840 1342709751680