Search a number
-
+
404000042004 = 2232131427604939
BaseRepresentation
bin1011110000100000100…
…01110110110000010100
31102121210110100120001200
411320100101312300110
523104343002321004
6505332310552500
741121332461026
oct5702021666024
91377713316050
10404000042004
11146376545139
126636a968730
132c135275bc0
14157a7528016
15a797b7b239
hex5e10476c14

404000042004 has 72 divisors (see below), whose sum is σ = 1100550403680. Its totient is φ = 124220388672.

The previous prime is 404000042003. The next prime is 404000042009. The reversal of 404000042004 is 400240000404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404000042003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365367 + ... + 970305.

Almost surely, 2404000042004 is an apocalyptic number.

It is an amenable number.

404000042004 is an abundant number, since it is smaller than the sum of its proper divisors (696550361676).

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

404000042004 is a wasteful number, since it uses less digits than its factorization.

404000042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606389 (or 606384 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 404000042004 its reverse (400240000404), we get a palindrome (804240042408).

The spelling of 404000042004 in words is "four hundred four billion, forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1427 2854 4281 5708 8562 12843 17124 18551 25686 37102 51372 55653 74204 111306 166959 222612 333918 604939 667836 1209878 1814817 2419756 3629634 5444451 7259268 7864207 10888902 15728414 21777804 23592621 31456828 47185242 70777863 94370484 141555726 283111452 863247953 1726495906 2589743859 3452991812 5179487718 7769231577 10358975436 11222223389 15538463154 22444446778 31076926308 33666670167 44888893556 67333340334 101000010501 134666680668 202000021002 404000042004