Search a number
-
+
411030233120 = 25513197610689
BaseRepresentation
bin1011111101100110100…
…11111010000000100000
31110021221101220021021102
411332303103322000200
523213242214424440
6512454044213532
741460466223033
oct5766323720040
91407841807242
10411030233120
1114935393a841
12677b123a2a8
132c9b58bcac0
1415c730a301a
15aa59e5ab15
hex5fb34fa020

411030233120 has 48 divisors (see below), whose sum is σ = 1045755771480. Its totient is φ = 151765008384.

The previous prime is 411030233113. The next prime is 411030233137. The reversal of 411030233120 is 21332030114.

It can be written as a sum of positive squares in 4 ways, for example, as 244902255376 + 166127977744 = 494876^2 + 407588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 411030233092 and 411030233101.

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 7 ways as a sum of consecutive naturals, for example, 98803265 + ... + 98807424.

Almost surely, 2411030233120 is an apocalyptic number.

411030233120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411030233120 is an abundant number, since it is smaller than the sum of its proper divisors (634725538360).

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

411030233120 is a wasteful number, since it uses less digits than its factorization.

411030233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197610717 (or 197610709 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 411030233120 its reverse (21332030114), we get a palindrome (432362263234).

The spelling of 411030233120 in words is "four hundred eleven billion, thirty million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 197610689 395221378 790442756 988053445 1580885512 1976106890 2568938957 3161771024 3952213780 5137877914 6323542048 7904427560 10275755828 12844694785 15808855120 20551511656 25689389570 31617710240 41103023312 51378779140 82206046624 102757558280 205515116560 411030233120