Search a number
-
+
1003323414040 = 23578731871773
BaseRepresentation
bin11101001100110101011…
…11000101011000011000
310112220202100000100110221
432212122233011120120
5112414301243222130
62044530450445424
7132326201206543
oct16463257053030
93486670010427
101003323414040
11357563a02072
1214254ab93874
13737c798821c
14367bd99985a
151b1733e187a
hexe99abc5618

1003323414040 has 32 divisors (see below), whose sum is σ = 2260346212080. Its totient is φ = 400819404672.

The previous prime is 1003323414031. The next prime is 1003323414127. The reversal of 1003323414040 is 404143233001.

1003323414040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10033234140403 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003323413996 and 1003323414014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15904407 + ... + 15967366.

Almost surely, 21003323414040 is an apocalyptic number.

1003323414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003323414040 is an abundant number, since it is smaller than the sum of its proper divisors (1257022798040).

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

1003323414040 is a wasteful number, since it uses less digits than its factorization.

1003323414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31872571 (or 31872567 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1003323414040 its reverse (404143233001), we get a palindrome (1407466647041).

The spelling of 1003323414040 in words is "one trillion, three billion, three hundred twenty-three million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 787 1574 3148 3935 6296 7870 15740 31480 31871773 63743546 127487092 159358865 254974184 318717730 637435460 1274870920 25083085351 50166170702 100332341404 125415426755 200664682808 250830853510 501661707020 1003323414040