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340014021010020 = 223357108678277427
BaseRepresentation
bin100110101001111011010111…
…0111100001110001001100100
31122120220000121201212201002000
41031103312232330032021210
5324031242203334310040
63203052141311245300
7131422126260256050
oct11523665674161144
91576800551781060
10340014021010020
1199380155792985
1232174bb3819830
13117952527564c6
145dd6aa30d6c60
15294982945e130
hex1353daef0e264

340014021010020 has 192 divisors, whose sum is σ = 1209050136053760. Its totient is φ = 77710329431424.

The previous prime is 340014021009997. The next prime is 340014021010043. The reversal of 340014021010020 is 20010120410043.

340014021010020 is a `hidden beast` number, since 3 + 400 + 1 + 40 + 210 + 10 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340014021009997) and next prime (340014021010043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 340014021009975 and 340014021010002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36938547 + ... + 45215973.

It is an arithmetic number, because the mean of its divisors is an integer number (6297136125280).

Almost surely, 2340014021010020 is an apocalyptic number.

340014021010020 is a gapful number since it is divisible by the number (30) 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 340014021010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604525068026880).

340014021010020 is an abundant number, since it is smaller than the sum of its proper divisors (869036115043740).

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

340014021010020 is a wasteful number, since it uses less digits than its factorization.

340014021010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288319 (or 8288311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 340014021010020 its reverse (20010120410043), we get a palindrome (360024141420063).

The spelling of 340014021010020 in words is "three hundred forty trillion, fourteen billion, twenty-one million, ten thousand, twenty".