Search a number
-
+
12430144201400 = 2352122035093069
BaseRepresentation
bin1011010011100001111001…
…0101000110001010111000
31122000022101010021120021222
42310320132111012022320
53112123413403421100
642234155053051212
72422022363261432
oct264703625061270
948008333246258
1012430144201400
113a6265a391942
121489066186b08
136c2208241793
1430d89d405652
1516850ae29485
hexb4e1e5462b8

12430144201400 has 48 divisors (see below), whose sum is σ = 28902459220200. Its totient is φ = 4971649258880.

The previous prime is 12430144201381. The next prime is 12430144201403. The reversal of 12430144201400 is 410244103421.

It is a self number, because there is not a number n which added to its sum of digits gives 12430144201400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430144201403) 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, 105935 + ... + 4987134.

Almost surely, 212430144201400 is an apocalyptic number.

12430144201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12430144201400 is an abundant number, since it is smaller than the sum of its proper divisors (16472315018800).

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

12430144201400 is a wasteful number, since it uses less digits than its factorization.

12430144201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105288 (or 5105279 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12430144201400 its reverse (410244103421), we get a palindrome (12840388304821).

The spelling of 12430144201400 in words is "twelve trillion, four hundred thirty billion, one hundred forty-four million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 12203 24406 48812 61015 97624 122030 244060 305075 488120 610150 1220300 2440600 5093069 10186138 20372276 25465345 40744552 50930690 101861380 127326725 203722760 254653450 509306900 1018613800 62150721007 124301442014 248602884028 310753605035 497205768056 621507210070 1243014420140 1553768025175 2486028840280 3107536050350 6215072100700 12430144201400