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1404324040 = 235753173547
BaseRepresentation
bin101001110110100…
…0100100011001000
310121212111001102111
41103231010203020
510334001332130
6351203312104
746541362120
oct12355044310
93555431374
101404324040
11660782489
1233237b634
13194c33992
14d4719c80
158344b02a
hex53b448c8

1404324040 has 128 divisors (see below), whose sum is σ = 3707285760. Its totient is φ = 468808704.

The previous prime is 1404324037. The next prime is 1404324071. The reversal of 1404324040 is 404234041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2567047 + ... + 2567593.

It is an arithmetic number, because the mean of its divisors is an integer number (28963170).

Almost surely, 21404324040 is an apocalyptic number.

1404324040 is a gapful number since it is divisible by the number (10) 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 1404324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853642880).

1404324040 is an abundant number, since it is smaller than the sum of its proper divisors (2302961720).

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

1404324040 is a wasteful number, since it uses less digits than its factorization.

1404324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1404324040 is about 37474.3117348404. The cubic root of 1404324040 is about 1119.8394859254.

Adding to 1404324040 its reverse (404234041), we get a palindrome (1808558081).

It can be divided in two parts, 14043 and 24040, that added together give a palindrome (38083).

The spelling of 1404324040 in words is "one billion, four hundred four million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 173 212 265 280 346 371 424 530 547 692 742 865 1060 1094 1211 1384 1484 1730 1855 2120 2188 2422 2735 2968 3460 3710 3829 4376 4844 5470 6055 6920 7420 7658 9169 9688 10940 12110 14840 15316 18338 19145 21880 24220 28991 30632 36676 38290 45845 48440 57982 64183 73352 76580 91690 94631 115964 128366 144955 153160 183380 189262 202937 231928 256732 289910 320915 366760 378524 405874 473155 513464 579820 641830 662417 757048 811748 946310 1014685 1159640 1283660 1324834 1623496 1892620 2029370 2567320 2649668 3312085 3785240 4058740 5015443 5299336 6624170 8117480 10030886 13248340 20061772 25077215 26496680 35108101 40123544 50154430 70216202 100308860 140432404 175540505 200617720 280864808 351081010 702162020 1404324040