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1042414440 = 233544319609
BaseRepresentation
bin111110001000011…
…111101101101000
32200122111010210020
4332020133231220
54113324230230
6251234320440
734555243104
oct7610375550
92618433706
101042414440
11495463441
12251129120
13137c6a9a2
149c62c904
15617ad810
hex3e21fb68

1042414440 has 64 divisors (see below), whose sum is σ = 3134462400. Its totient is φ = 277335552.

The previous prime is 1042414427. The next prime is 1042414447. The reversal of 1042414440 is 444142401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1042414440.

It is not an unprimeable number, because it can be changed into a prime (1042414447) by changing a digit.

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, 43356 + ... + 62964.

It is an arithmetic number, because the mean of its divisors is an integer number (48975975).

Almost surely, 21042414440 is an apocalyptic number.

1042414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042414440 is an abundant number, since it is smaller than the sum of its proper divisors (2092047960).

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

1042414440 is a wasteful number, since it uses less digits than its factorization.

1042414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20066 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1042414440 is about 32286.4435947969. The cubic root of 1042414440 is about 1013.9428403603.

Adding to 1042414440 its reverse (444142401), we get a palindrome (1486556841).

The spelling of 1042414440 in words is "one billion, forty-two million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 443 886 1329 1772 2215 2658 3544 4430 5316 6645 8860 10632 13290 17720 19609 26580 39218 53160 58827 78436 98045 117654 156872 196090 235308 294135 392180 470616 588270 784360 1176540 2353080 8686787 17373574 26060361 34747148 43433935 52120722 69494296 86867870 104241444 130301805 173735740 208482888 260603610 347471480 521207220 1042414440