Search a number
-
+
431300001400 = 235215114281457
BaseRepresentation
bin1100100011010110111…
…10111011111001111000
31112020021001001012000221
412101223132323321320
524031300300021100
6530045251505424
743106005344262
oct6215336737170
91466231035027
10431300001400
11156a05674754
126b7095b8274
133189613bc28
1416c3712cb32
15b34471301a
hex646b7bbe78

431300001400 has 48 divisors (see below), whose sum is σ = 1009413451440. Its totient is φ = 171377472000.

The previous prime is 431300001373. The next prime is 431300001409. The reversal of 431300001400 is 4100003134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431300001409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7110529 + ... + 7170928.

It is an arithmetic number, because the mean of its divisors is an integer number (21029446905).

Almost surely, 2431300001400 is an apocalyptic number.

431300001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431300001400 is an abundant number, since it is smaller than the sum of its proper divisors (578113450040).

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

431300001400 is a wasteful number, since it uses less digits than its factorization.

431300001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14281624 (or 14281615 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 431300001400 its reverse (4100003134), we get a palindrome (435400004534).

The spelling of 431300001400 in words is "four hundred thirty-one billion, three hundred million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 6040 7550 15100 30200 14281457 28562914 57125828 71407285 114251656 142814570 285629140 357036425 571258280 714072850 1428145700 2156500007 2856291400 4313000014 8626000028 10782500035 17252000056 21565000070 43130000140 53912500175 86260000280 107825000350 215650000700 431300001400