Search a number
-
+
309773641472 = 2831149261973
BaseRepresentation
bin1001000000111111111…
…00101010011100000000
31002121120122202110100022
410200133330222130000
520033404023011342
6354150312113012
731244323336031
oct4403774523400
91077518673308
10309773641472
1110a413165849
1250052695768
1323299963409
1410dc91c0a88
1580d07579d2
hex481ff2a700

309773641472 has 72 divisors (see below), whose sum is σ = 642569827200. Its totient is φ = 148883927040.

The previous prime is 309773641469. The next prime is 309773641519. The reversal of 309773641472 is 274146377903.

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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051478 + ... + 1313450.

Almost surely, 2309773641472 is an apocalyptic number.

309773641472 is a gapful number since it is divisible by the number (32) 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 309773641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321284913600).

309773641472 is an abundant number, since it is smaller than the sum of its proper divisors (332796185728).

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

309773641472 is a wasteful number, since it uses less digits than its factorization.

309773641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262169 (or 262155 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 53.

The spelling of 309773641472 in words is "three hundred nine billion, seven hundred seventy-three million, six hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 149 248 256 298 496 596 992 1192 1984 2384 3968 4619 4768 7936 9238 9536 18476 19072 36952 38144 73904 147808 261973 295616 523946 591232 1047892 1182464 2095784 4191568 8121163 8383136 16242326 16766272 32484652 33532544 39033977 64969304 67065088 78067954 129938608 156135908 259877216 312271816 519754432 624543632 1039508864 1210053287 1249087264 2079017728 2420106574 2498174528 4840213148 4996349056 9680426296 9992698112 19360852592 38721705184 77443410368 154886820736 309773641472