Search a number
-
+
401331300320 = 2552508320627
BaseRepresentation
bin1011101011100010011…
…01011010011111100000
31102100220110122102201002
411311301031122133200
523033411303102240
6504211414331132
740665235524026
oct5656115323740
91370813572632
10401331300320
11145227068aa5
1265945059aa8
132bacb3b5102
14155d2d10716
15a68d71cd15
hex5d7135a7e0

401331300320 has 24 divisors (see below), whose sum is σ = 948145197384. Its totient is φ = 160532520064.

The previous prime is 401331300283. The next prime is 401331300329. The reversal of 401331300320 is 23003133104.

It is a super-2 number, since 2×4013313003202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401331300292 and 401331300301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401331300329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1254160154 + ... + 1254160473.

It is an arithmetic number, because the mean of its divisors is an integer number (39506049891).

Almost surely, 2401331300320 is an apocalyptic number.

401331300320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401331300320 is an abundant number, since it is smaller than the sum of its proper divisors (546813897064).

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

401331300320 is a wasteful number, since it uses less digits than its factorization.

401331300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508320642 (or 2508320634 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 401331300320 its reverse (23003133104), we get a palindrome (424334433424).

The spelling of 401331300320 in words is "four hundred one billion, three hundred thirty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2508320627 5016641254 10033282508 12541603135 20066565016 25083206270 40133130032 50166412540 80266260064 100332825080 200665650160 401331300320