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34024420012020 = 22351601354199667
BaseRepresentation
bin1111011110001111011010…
…11101111110111111110100
311110110200222022221121021220
413233013231131332333310
513424424003010341040
6200210334110510340
710111116563153544
oct757075535767764
9143420868847256
1034024420012020
11a92874809a139
1239961b15053b0
1315ca648561329
14858b0da19324
153e00bea8d2d0
hex1ef1ed77eff4

34024420012020 has 48 divisors (see below), whose sum is σ = 95327881846848. Its totient is φ = 9067511449600.

The previous prime is 34024420012003. The next prime is 34024420012027. The reversal of 34024420012020 is 2021002442043.

It is a super-2 number, since 2×340244200120202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34024420012027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177003774 + ... + 177195893.

It is an arithmetic number, because the mean of its divisors is an integer number (1985997538476).

Almost surely, 234024420012020 is an apocalyptic number.

34024420012020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34024420012020 is an abundant number, since it is smaller than the sum of its proper divisors (61303461834828).

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

34024420012020 is a wasteful number, since it uses less digits than its factorization.

34024420012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354201280 (or 354201278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34024420012020 its reverse (2021002442043), we get a palindrome (36045422454063).

The spelling of 34024420012020 in words is "thirty-four trillion, twenty-four billion, four hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1601 3202 4803 6404 8005 9606 16010 19212 24015 32020 48030 96060 354199667 708399334 1062599001 1416798668 1770998335 2125198002 3541996670 4250396004 5312995005 7083993340 10625990010 21251980020 567073666867 1134147333734 1701221000601 2268294667468 2835368334335 3402442001202 5670736668670 6804884002404 8506105003005 11341473337340 17012210006010 34024420012020