Search a number
-
+
404535430152 = 233271766945427
BaseRepresentation
bin1011110001100000011…
…00001100110000001000
31102200011202210002112100
411320300030030300020
523111442032231102
6505501354113400
741140523264310
oct5706014146010
91380152702470
10404535430152
11146620782187
126649a11b860
132c1bc16b619
1415818692440
15a7c9b84a1c
hex5e3030cc08

404535430152 has 96 divisors (see below), whose sum is σ = 1252231905600. Its totient is φ = 115572465792.

The previous prime is 404535430133. The next prime is 404535430207. The reversal of 404535430152 is 251034535404.

404535430152 is a `hidden beast` number, since 4 + 0 + 45 + 35 + 430 + 152 = 666.

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

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, 8882463 + ... + 8927889.

It is an arithmetic number, because the mean of its divisors is an integer number (13044082350).

Almost surely, 2404535430152 is an apocalyptic number.

404535430152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

404535430152 is an abundant number, since it is smaller than the sum of its proper divisors (847696475448).

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

404535430152 is a wasteful number, since it uses less digits than its factorization.

404535430152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63115 (or 63108 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 404535430152 its reverse (251034535404), we get a palindrome (655569965556).

The spelling of 404535430152 in words is "four hundred four billion, five hundred thirty-five million, four hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 17669 35338 45427 53007 70676 90854 106014 123683 136281 141352 159021 181708 212028 247366 272562 317989 318042 363416 371049 408843 424056 494732 545124 635978 636084 742098 817686 953967 989464 1090248 1113147 1271956 1272168 1484196 1635372 1907934 2226294 2543912 2861901 2968392 3270744 3815868 4452588 5723802 7631736 8905176 11447604 22895208 802649663 1605299326 2407948989 3210598652 4815897978 5618547641 6421197304 7223846967 9631795956 11237095282 14447693934 16855642923 19263591912 22474190564 28895387868 33711285846 44948381128 50566928769 57790775736 67422571692 101133857538 134845143384 202267715076 404535430152