Search a number
-
+
430412114000 = 24531119564187
BaseRepresentation
bin1100100001101101000…
…11111010100001010000
31112010222011022211111102
412100312203322201100
524022441000122000
6525421213203532
743045004414261
oct6206643724120
91463864284442
10430412114000
1115659a465810
126b5001905a8
13317841c687b
1416b91246968
15b2e17ca3d5
hex64368fa850

430412114000 has 80 divisors (see below), whose sum is σ = 1135348958016. Its totient is φ = 156513488000.

The previous prime is 430412113997. The next prime is 430412114047. The reversal of 430412114000 is 411214034.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9760094 + ... + 9804093.

Almost surely, 2430412114000 is an apocalyptic number.

430412114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430412114000 is an abundant number, since it is smaller than the sum of its proper divisors (704936844016).

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

430412114000 is a wasteful number, since it uses less digits than its factorization.

430412114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19564221 (or 19564205 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 430412114000 its reverse (411214034), we get a palindrome (430823328034).

The spelling of 430412114000 in words is "four hundred thirty billion, four hundred twelve million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 19564187 39128374 78256748 97820935 156513496 195641870 215206057 313026992 391283740 430412114 489104675 782567480 860824228 978209350 1076030285 1565134960 1721648456 1956418700 2152060570 2445523375 3443296912 3912837400 4304121140 4891046750 5380151425 7825674800 8608242280 9782093500 10760302850 17216484560 19564187000 21520605700 26900757125 39128374000 43041211400 53801514250 86082422800 107603028500 215206057000 430412114000