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1223528001424 = 244325921092
BaseRepresentation
bin10001110011011111111…
…100111010111110010000
311022222010202210102100121
4101303133330322332100
5130021241132021144
62334025255200024
7154253110262251
oct21633774727620
94288122712317
101223528001424
11431993728873
12179165076014
138b4bbb84341
144330d1bab28
1521c60545384
hex11cdff3af90

1223528001424 has 135 divisors (see below), whose sum is σ = 2491687867473. Its totient is φ = 582020111232.

The previous prime is 1223528001403. The next prime is 1223528001439. The reversal of 1223528001424 is 4241008253221.

The square root of 1223528001424 is 1106132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 852793147024 + 370734854400 = 923468^2 + 608880^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1223528001424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11225027482 + ... + 11225027590.

Almost surely, 21223528001424 is an apocalyptic number.

1223528001424 is the 1106132-nd square number.

It is an amenable number.

1223528001424 is an abundant number, since it is smaller than the sum of its proper divisors (1268159866049).

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

1223528001424 is an frugal number, since it uses more digits than its factorization.

1223528001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 1223528001424 in words is "one trillion, two hundred twenty-three billion, five hundred twenty-eight million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 43 59 86 109 118 172 218 236 344 436 472 688 872 944 1744 1849 2537 3481 3698 4687 5074 6431 6962 7396 9374 10148 11881 12862 13924 14792 18748 20296 23762 25724 27848 29584 37496 40592 47524 51448 55696 74992 95048 102896 109091 149683 190096 201541 218182 276533 299366 379429 403082 436364 510883 553066 598732 700979 758858 806164 872728 1021766 1106132 1197464 1401958 1517716 1612328 1745456 2043532 2212264 2394928 2803916 3035432 3224656 4087064 4424528 5607832 6070864 6436369 8174128 11215664 11890919 12872738 16315447 21967969 23781838 25745476 30142097 32630894 41357761 43935938 47563676 51490952 60284194 65261788 82715522 87871876 95127352 102981904 120568388 130523576 165431044 175743752 190254704 241136776 261047152 330862088 351487504 482273552 661724176 701564221 1296110171 1403128442 1778383723 2592220342 2806256884 3556767446 5184440684 5612513768 7113534892 10368881368 11225027536 14227069784 20737762736 28454139568 76470500089 152941000178 305882000356 611764000712 1223528001424