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3426100001324 = 227112132912312179
BaseRepresentation
bin110001110110110011011…
…110010011101000101100
3110010112100210121002101122
4301312303132103220230
5422113123100020244
611141532325200112
7502345644336320
oct61666336235054
913115323532348
103426100001324
111101001150400
12474001b60038
131bb106555bc0
14bbb77581980
155e1c26961ee
hex31db3793a2c

3426100001324 has 288 divisors, whose sum is σ = 8401487001600. Its totient is φ = 1188163468800.

The previous prime is 3426100001299. The next prime is 3426100001339. The reversal of 3426100001324 is 4231000016243.

It is a super-2 number, since 2×34261000013242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3426100001293 and 3426100001302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1572325667 + ... + 1572327845.

Almost surely, 23426100001324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426100001324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200743500800).

3426100001324 is an abundant number, since it is smaller than the sum of its proper divisors (4975387000276).

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

3426100001324 is a wasteful number, since it uses less digits than its factorization.

3426100001324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 3426100001324 its reverse (4231000016243), we get a palindrome (7657100017567).

The spelling of 3426100001324 in words is "three trillion, four hundred twenty-six billion, one hundred million, one thousand, three hundred twenty-four".