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1404226516 = 2272112937607
BaseRepresentation
bin101001110110010…
…1100101111010100
310121212022002122111
41103230230233110
510333440222031
6351201240404
746540504600
oct12354545724
93555262574
101404226516
11660716190
12332333104
13194bcb484
14d46d2500
158342c1b1
hex53b2cbd4

1404226516 has 144 divisors (see below), whose sum is σ = 3318658560. Its totient is φ = 513112320.

The previous prime is 1404226489. The next prime is 1404226517. The reversal of 1404226516 is 6156224041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404226517) 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 47 ways as a sum of consecutive naturals, for example, 2313085 + ... + 2313691.

It is an arithmetic number, because the mean of its divisors is an integer number (23046240).

Almost surely, 21404226516 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 1404226516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659329280).

1404226516 is an abundant number, since it is smaller than the sum of its proper divisors (1914432044).

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

1404226516 is a wasteful number, since it uses less digits than its factorization.

1404226516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1404226516 is about 37473.0105008925. The cubic root of 1404226516 is about 1119.8135627170.

The spelling of 1404226516 in words is "one billion, four hundred four million, two hundred twenty-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 29 37 44 49 58 74 77 98 116 148 154 196 203 259 308 319 406 407 518 539 607 638 812 814 1036 1073 1078 1214 1276 1421 1628 1813 2146 2156 2233 2428 2842 2849 3626 4249 4292 4466 5684 5698 6677 7252 7511 8498 8932 11396 11803 13354 15022 15631 16996 17603 19943 22459 23606 26708 29743 30044 31262 35206 39886 44918 46739 47212 52577 59486 62524 70412 79772 82621 89836 93478 105154 118972 123221 157213 165242 186956 193633 210308 246442 247049 314426 327173 330484 387266 492884 494098 578347 628852 651311 654346 774532 862547 988196 1100491 1156694 1302622 1308692 1355431 1725094 1729343 2200982 2313388 2605244 2710862 3450188 3458686 4401964 4559177 5421724 6917372 7164421 9118354 9488017 12105401 14328842 18236708 18976034 24210802 28657684 31914239 37952068 48421604 50150947 63828478 100301894 127656956 200603788 351056629 702113258 1404226516