Search a number
-
+
1711316145300 = 2235271117168611
BaseRepresentation
bin11000111001110010011…
…001000001010010010100
320001121012120020120021120
4120321302121001102110
5211014233413122200
63350100124043540
7234432003140556
oct30716231012224
96047176216246
101711316145300
115aa846393a93
122377b83935b0
13c54b7cc1938
145cb845d54d6
152e7ae00a9a0
hex18e72641494

1711316145300 has 144 divisors (see below), whose sum is σ = 5025507346944. Its totient is φ = 449532720000.

The previous prime is 1711316145283. The next prime is 1711316145337. The reversal of 1711316145300 is 35416131171.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24907995 + ... + 24976605.

It is an arithmetic number, because the mean of its divisors is an integer number (34899356576).

Almost surely, 21711316145300 is an apocalyptic number.

1711316145300 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 1711316145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512753673472).

1711316145300 is an abundant number, since it is smaller than the sum of its proper divisors (3314191201644).

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

1711316145300 is a wasteful number, since it uses less digits than its factorization.

1711316145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69870 (or 69863 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 1711316145300 in words is "one trillion, seven hundred eleven billion, three hundred sixteen million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1171 1420 1775 2130 2342 3513 3550 4260 4684 5325 5855 7026 7100 10650 11710 14052 17565 21300 23420 29275 35130 58550 68611 70260 83141 87825 117100 137222 166282 175650 205833 249423 274444 332564 343055 351300 411666 415705 498846 686110 823332 831410 997692 1029165 1247115 1372220 1662820 1715275 2058330 2078525 2494230 3430550 4116660 4157050 4871381 4988460 5145825 6235575 6861100 8314100 9742762 10291650 12471150 14614143 19485524 20583300 24356905 24942300 29228286 48713810 58456572 73070715 80343481 97427620 121784525 146141430 160686962 241030443 243569050 292282860 321373924 365353575 401717405 482060886 487138100 730707150 803434810 964121772 1205152215 1461414300 1606869620 2008587025 2410304430 4017174050 4820608860 5704387151 6025761075 8034348100 11408774302 12051522150 17113161453 22817548604 24103044300 28521935755 34226322906 57043871510 68452645812 85565807265 114087743020 142609678775 171131614530 285219357550 342263229060 427829036325 570438715100 855658072650 1711316145300