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4081430000 = 2454735591
BaseRepresentation
bin1111001101000101…
…1010110111110000
3101112102221010102002
43303101122313300
531324321230000
61512555113132
7203066403554
oct36321326760
911472833362
104081430000
11180495184a
1295aa427a8
1350076294b
142aa0ad864
1518d4ac8d5
hexf345adf0

4081430000 has 100 divisors (see below), whose sum is σ = 10018705488. Its totient is φ = 1609920000.

The previous prime is 4081429991. The next prime is 4081430027. The reversal of 4081430000 is 341804.

It is a tau number, because it is divible by the number of its divisors (100).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 727205 + ... + 732795.

Almost surely, 24081430000 is an apocalyptic number.

4081430000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009352744).

4081430000 is an abundant number, since it is smaller than the sum of its proper divisors (5937275488).

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

4081430000 is an equidigital number, since it uses as much as digits as its factorization.

4081430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5671 counting only the distinct ones).

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

The square root of 4081430000 is about 63886.0704692345. The cubic root of 4081430000 is about 1598.1006106757.

Adding to 4081430000 its reverse (341804), we get a palindrome (4081771804).

The spelling of 4081430000 in words is "four billion, eighty-one million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3650 5000 5591 5840 7300 9125 10000 11182 14600 18250 22364 27955 29200 36500 44728 45625 55910 73000 89456 91250 111820 139775 146000 182500 223640 279550 365000 408143 447280 559100 698875 730000 816286 1118200 1397750 1632572 2040715 2236400 2795500 3265144 3494375 4081430 5591000 6530288 6988750 8162860 10203575 11182000 13977500 16325720 20407150 27955000 32651440 40814300 51017875 55910000 81628600 102035750 163257200 204071500 255089375 408143000 510178750 816286000 1020357500 2040715000 4081430000