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1224413244040 = 23575382507631
BaseRepresentation
bin10001110100010100101…
…101110110101010001000
311100001102110112101221011
4101310110231312222020
5130030044242302130
62334253201053304
7154314046565440
oct21642455665210
94301373471834
101224413244040
114322a83a0738
12179371627234
138b6003b193c
14433949b5120
1521cb310952a
hex11d14b76a88

1224413244040 has 64 divisors (see below), whose sum is σ = 3207896732160. Its totient is φ = 411878088960.

The previous prime is 1224413244031. The next prime is 1224413244049. The reversal of 1224413244040 is 404423144221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1224413244031) and next prime (1224413244049).

It is a junction number, because it is equal to n+sod(n) for n = 1224413243993 and 1224413244011.

It is not an unprimeable number, because it can be changed into a prime (1224413244049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41238976 + ... + 41268655.

It is an arithmetic number, because the mean of its divisors is an integer number (50123386440).

Almost surely, 21224413244040 is an apocalyptic number.

1224413244040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224413244040 is an abundant number, since it is smaller than the sum of its proper divisors (1983483488120).

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

1224413244040 is a wasteful number, since it uses less digits than its factorization.

1224413244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82507702 (or 82507698 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1224413244040 its reverse (404423144221), we get a palindrome (1628836388261).

The spelling of 1224413244040 in words is "one trillion, two hundred twenty-four billion, four hundred thirteen million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 82507631 165015262 330030524 412538155 577553417 660061048 825076310 1155106834 1650152620 2310213668 2887767085 3300305240 4372904443 4620427336 5775534170 8745808886 11551068340 17491617772 21864522215 23102136680 30610331101 34983235544 43729044430 61220662202 87458088860 122441324404 153051655505 174916177720 244882648808 306103311010 612206622020 1224413244040