Search a number
-
+
1109145408 = 2637877941
BaseRepresentation
bin100001000011100…
…0011011101000000
32212022001102110120
41002013003131000
54232420123113
6302020500240
736325403040
oct10207033500
92768042416
101109145408
1151a0a13a8
1226b54a680
13148a33577
14a743d720
1567590a23
hex421c3740

1109145408 has 112 divisors (see below), whose sum is σ = 3361236864. Its totient is φ = 316200960.

The previous prime is 1109145379. The next prime is 1109145449. The reversal of 1109145408 is 8045419011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1178218 + ... + 1179158.

Almost surely, 21109145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680618432).

1109145408 is an abundant number, since it is smaller than the sum of its proper divisors (2252091456).

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

1109145408 is an equidigital number, since it uses as much as digits as its factorization.

1109145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1109145408 is about 33303.8347341564. The cubic root of 1109145408 is about 1035.1330184471.

The spelling of 1109145408 in words is "one billion, one hundred nine million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 877 941 1344 1754 1882 2631 2823 3508 3764 5262 5646 6139 6587 7016 7528 10524 11292 12278 13174 14032 15056 18417 19761 21048 22584 24556 26348 28064 30112 36834 39522 42096 45168 49112 52696 56128 60224 73668 79044 84192 90336 98224 105392 147336 158088 168384 180672 196448 210784 294672 316176 392896 421568 589344 632352 825257 1178688 1264704 1650514 2475771 3301028 4951542 5776799 6602056 9903084 11553598 13204112 17330397 19806168 23107196 26408224 34660794 39612336 46214392 52816448 69321588 79224672 92428784 138643176 158449344 184857568 277286352 369715136 554572704 1109145408