Search a number
-
+
401204323142304 = 25311491773784799
BaseRepresentation
bin101101100111001001010100…
…1001010011100101010100000
31221121112202111002201121110220
41123032102221022130222200
5410041312423211023204
63541142415511323040
7150336025065505653
oct13316225112345240
91847482432647426
10401204323142304
11106921886047570
1238bb8104080480
13142b3536698716
14711056dda189a
15315b3a26201d9
hex16ce4a929caa0

401204323142304 has 96 divisors (see below), whose sum is σ = 1151243215718400. Its totient is φ = 121329456326400.

The previous prime is 401204323142267. The next prime is 401204323142309. The reversal of 401204323142304 is 403241323402104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (401204323142309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386373904 + ... + 387410895.

It is an arithmetic number, because the mean of its divisors is an integer number (11992116830400).

Almost surely, 2401204323142304 is an apocalyptic number.

401204323142304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401204323142304 is an abundant number, since it is smaller than the sum of its proper divisors (750038892576096).

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

401204323142304 is a wasteful number, since it uses less digits than its factorization.

401204323142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773785314 (or 773785306 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 401204323142304 its reverse (403241323402104), we get a palindrome (804445646544408).

The spelling of 401204323142304 in words is "four hundred one trillion, two hundred four billion, three hundred twenty-three million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 491 528 982 1056 1473 1964 2946 3928 5401 5892 7856 10802 11784 15712 16203 21604 23568 32406 43208 47136 64812 86416 129624 172832 259248 518496 773784799 1547569598 2321354397 3095139196 4642708794 6190278392 8511632789 9285417588 12380556784 17023265578 18570835176 24761113568 25534898367 34046531156 37141670352 51069796734 68093062312 74283340704 102139593468 136186124624 204279186936 272372249248 379928336309 408558373872 759856672618 817116747744 1139785008927 1519713345236 2279570017854 3039426690472 4179211699399 4559140035708 6078853380944 8358423398798 9118280071416 12157706761888 12537635098197 16716846797596 18236560142832 25075270196394 33433693595192 36473120285664 50150540392788 66867387190384 100301080785576 133734774380768 200602161571152 401204323142304