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401404413014424 = 2332291193161142911
BaseRepresentation
bin101101101000100110011111…
…1011100101111000110011000
31221122020212221201010021100100
41123101030333130233012120
5410103102214212430144
63541414350331535400
7150356340360403551
oct13321147734570630
91848225851107310
10401404413014424
11106999723611a46
123902aa458ba560
13142c93734c3561
14711a111d99328
1531616b38e8269
hex16d133f72f198

401404413014424 has 96 divisors (see below), whose sum is σ = 1125567126028800. Its totient is φ = 129079338339840.

The previous prime is 401404413014419. The next prime is 401404413014503. The reversal of 401404413014424 is 424410314404104.

401404413014424 is a `hidden beast` number, since 4 + 0 + 1 + 40 + 44 + 130 + 1 + 442 + 4 = 666.

It is a super-2 number, since 2×4014044130144242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78080472 + ... + 83062439.

It is an arithmetic number, because the mean of its divisors is an integer number (11724657562800).

Almost surely, 2401404413014424 is an apocalyptic number.

It is an amenable number.

401404413014424 is an abundant number, since it is smaller than the sum of its proper divisors (724162713014376).

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

401404413014424 is a wasteful number, since it uses less digits than its factorization.

401404413014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161144145 (or 161144138 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 401404413014424 its reverse (424410314404104), we get a palindrome (825814727418528).

The spelling of 401404413014424 in words is "four hundred one trillion, four hundred four billion, four hundred thirteen million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1193 2088 2386 3579 4772 7158 9544 10737 14316 21474 28632 34597 42948 69194 85896 103791 138388 207582 276776 311373 415164 622746 830328 1245492 2490984 161142911 322285822 483428733 644571644 966857466 1289143288 1450286199 1933714932 2900572398 3867429864 4673144419 5801144796 9346288838 11602289592 14019433257 18692577676 28038866514 37385155352 42058299771 56077733028 84116599542 112155466056 168233199084 192243492823 336466398168 384486985646 576730478469 768973971292 1153460956938 1537947942584 1730191435407 2306921913876 3460382870814 4613843827752 5575061291867 6920765741628 11150122583734 13841531483256 16725183875601 22300245167468 33450367751202 44600490334936 50175551626803 66900735502404 100351103253606 133801471004808 200702206507212 401404413014424