Search a number
-
+
3141717986128 = 243159363129567
BaseRepresentation
bin101101101101111100111…
…111000000101101010000
3102010100022201122220010011
4231231330333000231100
5402433214301024003
610403141343444304
7442660462156231
oct55557477005520
912110281586104
103141717986128
111001438998267
12428a76bb6694
1319a3552c8027
14ac0ba76d088
1556acb1bd46d
hex2db7cfc0b50

3141717986128 has 80 divisors (see below), whose sum is σ = 6391910891520. Its totient is φ = 1493958153600.

The previous prime is 3141717986119. The next prime is 3141717986131. The reversal of 3141717986128 is 8216897171413.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 106242801 + ... + 106272367.

It is an arithmetic number, because the mean of its divisors is an integer number (79898886144).

Almost surely, 23141717986128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141717986128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195955445760).

3141717986128 is an abundant number, since it is smaller than the sum of its proper divisors (3250192905392).

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

3141717986128 is a wasteful number, since it uses less digits than its factorization.

3141717986128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33296 (or 33290 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 58.

The spelling of 3141717986128 in words is "three trillion, one hundred forty-one billion, seven hundred seventeen million, nine hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3631 3658 7262 7316 14524 14632 29048 29264 29567 58096 59134 112561 118268 214229 225122 236536 428458 450244 473072 856916 900488 916577 1713832 1744453 1800976 1833154 3427664 3488906 3666308 6641099 6977812 7332616 13282198 13955624 14665232 26564396 27911248 53128792 54078043 106257584 107357777 108156086 214715554 216312172 429431108 432624344 858862216 865248688 1717724432 3328091087 6334108843 6656182174 12668217686 13312364348 25336435372 26624728696 50672870744 53249457392 101345741488 196357374133 392714748266 785429496532 1570858993064 3141717986128