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4022013132240 = 243516758388051
BaseRepresentation
bin111010100001110010101…
…010011111110111010000
3112020111112000021200110020
4322201302222133313100
51011344040330212430
612315404243503440
7563403143355165
oct72416252376720
915214460250406
104022013132240
1113107a9617744
1254b5b0087b80
13232374597b7c
14dc948b3c06c
156e94d82eb10
hex3a872a9fdd0

4022013132240 has 40 divisors (see below), whose sum is σ = 12468240710688. Its totient is φ = 1072536835200.

The previous prime is 4022013132239. The next prime is 4022013132271. The reversal of 4022013132240 is 422313102204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40220131322402 (a number of 26 digits) contains 22 as substring.

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 4022013132240.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8379193786 + ... + 8379194265.

Almost surely, 24022013132240 is an apocalyptic number.

4022013132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022013132240 is an abundant number, since it is smaller than the sum of its proper divisors (8446227578448).

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

4022013132240 is a wasteful number, since it uses less digits than its factorization.

4022013132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16758388067 (or 16758388061 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4022013132240 its reverse (422313102204), we get a palindrome (4444326234444).

The spelling of 4022013132240 in words is "four trillion, twenty-two billion, thirteen million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16758388051 33516776102 50275164153 67033552204 83791940255 100550328306 134067104408 167583880510 201100656612 251375820765 268134208816 335167761020 402201313224 502751641530 670335522040 804402626448 1005503283060 1340671044080 2011006566120 4022013132240