Search a number
-
+
3404114102432 = 251911934693103
BaseRepresentation
bin110001100010010101000…
…000110000100010100000
3110001102121120020201000002
4301202111000300202200
5421233111202234212
611123454535115132
7500640056310611
oct61422500604240
913042546221002
103404114102432
1110a274973612a
1246b8a6b12aa8
131b9011600384
14baa8d631c08
155d837400ac2
hex318950308a0

3404114102432 has 48 divisors (see below), whose sum is σ = 7060493381760. Its totient is φ = 1611123144192.

The previous prime is 3404114102399. The next prime is 3404114102461. The reversal of 3404114102432 is 2342014114043.

It is a junction number, because it is equal to n+sod(n) for n = 3404114102395 and 3404114102404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621208 + ... + 3071895.

It is an arithmetic number, because the mean of its divisors is an integer number (147093612120).

Almost surely, 23404114102432 is an apocalyptic number.

3404114102432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3404114102432 is an abundant number, since it is smaller than the sum of its proper divisors (3656379279328).

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

3404114102432 is a wasteful number, since it uses less digits than its factorization.

3404114102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694325 (or 4694317 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 3404114102432 its reverse (2342014114043), we get a palindrome (5746128216475).

The spelling of 3404114102432 in words is "three trillion, four hundred four billion, one hundred fourteen million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1193 2386 4772 9544 19088 22667 38176 45334 90668 181336 362672 725344 4693103 9386206 18772412 37544824 75089648 89168957 150179296 178337914 356675828 713351656 1426703312 2853406624 5598871879 11197743758 22395487516 44790975032 89581950064 106378565701 179163900128 212757131402 425514262804 851028525608 1702057051216 3404114102432