Search a number
-
+
305304540310016 = 2913791633562093
BaseRepresentation
bin100010101101011000100000…
…0101011000110101000000000
31111000222211101100101101110122
41011122301000223012220000
5310004102144304410031
63001154545232315412
7121210345056244202
oct10532610053065000
91430884340341418
10305304540310016
1189308a23806405
122a2aa0949a2b68
131014812cb46150
145556b66320772
152546a1214147b
hex115ac40ac6a00

305304540310016 has 160 divisors (see below), whose sum is σ = 669333990716160. Its totient is φ = 138272546340864.

The previous prime is 305304540309971. The next prime is 305304540310043. The reversal of 305304540310016 is 610013045403503.

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 15 ways as a sum of consecutive naturals, for example, 83928266 + ... + 87490358.

It is an arithmetic number, because the mean of its divisors is an integer number (4183337441976).

Almost surely, 2305304540310016 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 305304540310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666995358080).

305304540310016 is an abundant number, since it is smaller than the sum of its proper divisors (364029450406144).

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

305304540310016 is a wasteful number, since it uses less digits than its factorization.

305304540310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562366 (or 3562350 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 305304540310016 its reverse (610013045403503), we get a palindrome (915317585713519).

The spelling of 305304540310016 in words is "three hundred five trillion, three hundred four billion, five hundred forty million, three hundred ten thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 163 208 256 316 326 416 512 632 652 832 1027 1264 1304 1664 2054 2119 2528 2608 3328 4108 4238 5056 5216 6656 8216 8476 10112 10432 12877 16432 16952 20224 20864 25754 32864 33904 40448 41728 51508 65728 67808 83456 103016 131456 135616 167401 206032 262912 271232 334802 412064 525824 542464 669604 824128 1084928 1339208 1648256 2678416 3296512 3562093 5356832 6593024 7124186 10713664 14248372 21427328 28496744 42854656 46307209 56993488 85709312 92614418 113986976 185228836 227973952 281405347 370457672 455947904 562810694 580621159 740915344 911895808 1125621388 1161242318 1481830688 1823791616 2251242776 2322484636 2963661376 3658269511 4502485552 4644969272 5927322752 7316539022 7548075067 9004971104 9289938544 11854645504 14633078044 15096150134 18009942208 18579877088 23709291008 29266156088 30192300268 36019884416 37159754176 45869071561 58532312176 60384600536 72039768832 74319508352 91738143122 117064624352 120769201072 144079537664 148639016704 183476286244 234129248704 241538402144 297278033408 366952572488 468258497408 483076804288 596297930293 733905144976 936516994816 966153608576 1192595860586 1467810289952 1873033989632 1932307217152 2385191721172 2935620579904 3864614434304 4770383442344 5871241159808 9540766884688 11742482319616 19081533769376 23484964639232 38163067538752 76326135077504 152652270155008 305304540310016