Search a number
-
+
401200043232 = 25329314263369
BaseRepresentation
bin1011101011010010110…
…00101101010011100000
31102100120022122212211110
411311221120231103200
523033124202340412
6504150405143320
740662053046222
oct5655130552340
91370508585743
10401200043232
11145169a6866a
12659090bab40
132baaa1493b1
14155bd704412
15a681e41d3c
hex5d6962d4e0

401200043232 has 48 divisors (see below), whose sum is σ = 1056744556560. Its totient is φ = 133276910592.

The previous prime is 401200043213. The next prime is 401200043267. The reversal of 401200043232 is 232340002104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4012000432322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401200043199 and 401200043208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7103557 + ... + 7159812.

It is an arithmetic number, because the mean of its divisors is an integer number (22015511595).

Almost surely, 2401200043232 is an apocalyptic number.

It is an amenable number.

401200043232 is an abundant number, since it is smaller than the sum of its proper divisors (655544513328).

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

401200043232 is a wasteful number, since it uses less digits than its factorization.

401200043232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14263675 (or 14263667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 401200043232 its reverse (232340002104), we get a palindrome (633540045336).

The spelling of 401200043232 in words is "four hundred one billion, two hundred million, forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 1172 1758 2344 3516 4688 7032 9376 14064 28128 14263369 28526738 42790107 57053476 85580214 114106952 171160428 228213904 342320856 456427808 684641712 1369283424 4179167117 8358334234 12537501351 16716668468 25075002702 33433336936 50150005404 66866673872 100300010808 133733347744 200600021616 401200043232