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4034120020440 = 233543177999227
BaseRepresentation
bin111010101101000100010…
…010100111000111011000
3112021122202202112022211220
4322231010102213013120
51012043334211123230
612325125452252040
7564312153253266
oct72550422470730
915248682468756
104034120020440
111315951644a74
12551a0a771020
13233553915543
14dd376a21436
156ee0b665d10
hex3ab444a71d8

4034120020440 has 64 divisors (see below), whose sum is σ = 12130439938560. Its totient is φ = 1073269349760.

The previous prime is 4034120020433. The next prime is 4034120020493. The reversal of 4034120020440 is 440200214304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4034120020440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38947894 + ... + 39051333.

It is an arithmetic number, because the mean of its divisors is an integer number (189538124040).

Almost surely, 24034120020440 is an apocalyptic number.

4034120020440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034120020440 is an abundant number, since it is smaller than the sum of its proper divisors (8096319918120).

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

4034120020440 is a wasteful number, since it uses less digits than its factorization.

4034120020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77999672 (or 77999668 counting only the distinct ones).

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

Adding to 4034120020440 its reverse (440200214304), we get a palindrome (4474320234744).

The spelling of 4034120020440 in words is "four trillion, thirty-four billion, one hundred twenty million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 431 862 1293 1724 2155 2586 3448 4310 5172 6465 8620 10344 12930 17240 25860 51720 77999227 155998454 233997681 311996908 389996135 467995362 623993816 779992270 935990724 1169988405 1559984540 1871981448 2339976810 3119969080 4679953620 9359907240 33617666837 67235333674 100853000511 134470667348 168088334185 201706001022 268941334696 336176668370 403412002044 504265002555 672353336740 806824004088 1008530005110 1344706673480 2017060010220 4034120020440