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1124040442240 = 27512739137869
BaseRepresentation
bin10000010110110110000…
…010000000000110000000
310222110100022101202202101
4100112312002000012000
5121404013323122430
62220213235400144
7144131525054302
oct20266602000600
93873308352671
101124040442240
113a3780587081
12161a1aa53054
1381cc5594521
143c59222d972
151e38b2cedca
hex105b6080180

1124040442240 has 64 divisors (see below), whose sum is σ = 2687389614000. Its totient is φ = 449577621504.

The previous prime is 1124040442229. The next prime is 1124040442241. The reversal of 1124040442240 is 422440404211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1124040442199 and 1124040442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124040442241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8084026 + ... + 8221894.

Almost surely, 21124040442240 is an apocalyptic number.

1124040442240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124040442240 is an abundant number, since it is smaller than the sum of its proper divisors (1563349171760).

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

1124040442240 is a wasteful number, since it uses less digits than its factorization.

1124040442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150627 (or 150615 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1124040442240 its reverse (422440404211), we get a palindrome (1546480846451).

The spelling of 1124040442240 in words is "one trillion, one hundred twenty-four billion, forty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 12739 25478 50956 63695 101912 127390 137869 203824 254780 275738 407648 509560 551476 689345 815296 1019120 1102952 1378690 1630592 2038240 2205904 2757380 4076480 4411808 5514760 8152960 8823616 11029520 17647232 22059040 44118080 88236160 1756313191 3512626382 7025252764 8781565955 14050505528 17563131910 28101011056 35126263820 56202022112 70252527640 112404044224 140505055280 224808088448 281010110560 562020221120 1124040442240