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1144034112 = 26313676841
BaseRepresentation
bin100010000110000…
…1001001101000000
32221201200221202210
41010030021031000
54320333042422
6305304342120
740231062264
oct10414111500
92851627683
101144034112
11537860841
1227b174940
1315302a780
14abd220a4
156a68310c
hex44309340

1144034112 has 112 divisors (see below), whose sum is σ = 3308900672. Its totient is φ = 346705920.

The previous prime is 1144034107. The next prime is 1144034119. The reversal of 1144034112 is 2114304411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144034119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163812 + ... + 170652.

It is an arithmetic number, because the mean of its divisors is an integer number (29543756).

Almost surely, 21144034112 is an apocalyptic number.

1144034112 is a gapful number since it is divisible by the number (12) 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 1144034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654450336).

1144034112 is an abundant number, since it is smaller than the sum of its proper divisors (2164866560).

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

1144034112 is a wasteful number, since it uses less digits than its factorization.

1144034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1144034112 is about 33823.5733180278. The cubic root of 1144034112 is about 1045.8747015052.

Adding to 1144034112 its reverse (2114304411), we get a palindrome (3258338523).

The spelling of 1144034112 in words is "one billion, one hundred forty-four million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 134 156 192 201 208 268 312 402 416 536 624 804 832 871 1072 1248 1608 1742 2144 2496 2613 3216 3484 4288 5226 6432 6841 6968 10452 12864 13682 13936 20523 20904 27364 27872 41046 41808 54728 55744 82092 83616 88933 109456 164184 167232 177866 218912 266799 328368 355732 437824 458347 533598 656736 711464 916694 1067196 1313472 1375041 1422928 1833388 2134392 2750082 2845856 3666776 4268784 5500164 5691712 5958511 7333552 8537568 11000328 11917022 14667104 17075136 17875533 22000656 23834044 29334208 35751066 44001312 47668088 71502132 88002624 95336176 143004264 190672352 286008528 381344704 572017056 1144034112