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203414020432 = 24714923951001
BaseRepresentation
bin1011110101110001101…
…0111010000101010000
3201110001021100220002121
42331130122322011100
511313042442123212
6233240324224024
720460534434230
oct2753432720520
9643037326077
10203414020432
11792a3a03297
123350ab3b014
13162497137cc
149bb969bcc0
15545804ad07
hex2f5c6ba150

203414020432 has 80 divisors (see below), whose sum is σ = 455345856000. Its totient is φ = 86228352000.

The previous prime is 203414020409. The next prime is 203414020471. The reversal of 203414020432 is 234020414302.

It is a happy number.

203414020432 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-2 number, since 2×2034140204322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203414020397 and 203414020406.

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 15 ways as a sum of consecutive naturals, for example, 3962932 + ... + 4013932.

It is an arithmetic number, because the mean of its divisors is an integer number (5691823200).

Almost surely, 2203414020432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203414020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227672928000).

203414020432 is an abundant number, since it is smaller than the sum of its proper divisors (251931835568).

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

203414020432 is a wasteful number, since it uses less digits than its factorization.

203414020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51404 (or 51398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 203414020432 its reverse (234020414302), we get a palindrome (437434434734).

The spelling of 203414020432 in words is "two hundred three billion, four hundred fourteen million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 239 298 478 596 956 1043 1192 1673 1912 2086 2384 3346 3824 4172 6692 8344 13384 16688 26768 35611 51001 71222 102002 142444 204004 249277 284888 357007 408008 498554 569776 714014 816016 997108 1428028 1994216 2856056 3988432 5712112 7599149 12189239 15198298 24378478 30396596 48756956 53194043 60793192 85324673 97513912 106388086 121586384 170649346 195027824 212776172 341298692 425552344 682597384 851104688 1365194768 1816196611 3632393222 7264786444 12713376277 14529572888 25426752554 29059145776 50853505108 101707010216 203414020432