Search a number
-
+
1241316868608 = 2932299289069
BaseRepresentation
bin10010000100000100010…
…000000100001000000000
311101200001111200111121100
4102010010100010020000
5130314204104243413
62350130400254400
7155452663201635
oct22040420041000
94350044614540
101241316868608
11439492013aa3
121806aa611400
139009543025b
144411996818c
15224520e5a73
hex12104404200

1241316868608 has 120 divisors (see below), whose sum is σ = 3706060257900. Its totient is φ = 399504236544.

The previous prime is 1241316868601. The next prime is 1241316868619. The reversal of 1241316868608 is 8068686131421.

1241316868608 is a `hidden beast` number, since 1 + 2 + 4 + 13 + 16 + 8 + 6 + 8 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1101895282944 + 139421585664 = 1049712^2 + 373392^2 .

It is not an unprimeable number, because it can be changed into a prime (1241316868601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4510903 + ... + 4778166.

Almost surely, 21241316868608 is an apocalyptic number.

1241316868608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1241316868608 is an abundant number, since it is smaller than the sum of its proper divisors (2464743389292).

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

1241316868608 is an equidigital number, since it uses as much as digits as its factorization.

1241316868608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289122 (or 9289103 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1241316868608 in words is "one trillion, two hundred forty-one billion, three hundred sixteen million, eight hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1044 1152 1392 1536 1856 2088 2304 2784 3712 4176 4608 5568 7424 8352 11136 14848 16704 22272 33408 44544 66816 133632 9289069 18578138 27867207 37156276 55734414 74312552 83601621 111468828 148625104 167203242 222937656 269383001 297250208 334406484 445875312 538766002 594500416 668812968 808149003 891750624 1077532004 1189000832 1337625936 1616298006 1783501248 2155064008 2378001664 2424447009 2675251872 3232596012 3567002496 4310128016 4756003328 4848894018 5350503744 6465192024 7134004992 8620256032 9697788036 10701007488 12930384048 14268009984 17240512064 19395576072 21402014976 25860768096 34481024128 38791152144 42804029952 51721536192 68962048256 77582304288 103443072384 137924096512 155164608576 206886144768 310329217152 413772289536 620658434304 1241316868608