Search a number
-
+
403434321440 = 2552521464509
BaseRepresentation
bin1011101111011101000…
…11110011011000100000
31102120100000211222100012
411313232203303120200
523102213141241230
6505200221344052
741101323102653
oct5675643633040
91376300758305
10403434321440
1114610617a987
1266231408028
132c074cc00c7
141575234589a
15a763180395
hex5dee8f3620

403434321440 has 24 divisors (see below), whose sum is σ = 953113584780. Its totient is φ = 161373728512.

The previous prime is 403434321421. The next prime is 403434321467. The reversal of 403434321440 is 44123434304.

It can be written as a sum of positive squares in 2 ways, for example, as 373159713424 + 30274608016 = 610868^2 + 173996^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 403434321397 and 403434321406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1260732095 + ... + 1260732414.

Almost surely, 2403434321440 is an apocalyptic number.

403434321440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403434321440 is an abundant number, since it is smaller than the sum of its proper divisors (549679263340).

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

403434321440 is a wasteful number, since it uses less digits than its factorization.

403434321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521464524 (or 2521464516 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 403434321440 its reverse (44123434304), we get a palindrome (447557755744).

The spelling of 403434321440 in words is "four hundred three billion, four hundred thirty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2521464509 5042929018 10085858036 12607322545 20171716072 25214645090 40343432144 50429290180 80686864288 100858580360 201717160720 403434321440