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40144221200 = 2452100360553
BaseRepresentation
bin100101011000110010…
…000011010000010000
310211121201102201210102
4211120302003100100
51124203410034300
630235245551532
72620545151526
oct453062032020
9124551381712
1040144221200
1116030403616
1279442755a8
133a29c0a055
141d2b7d0316
15109e4c40d5
hex958c83410

40144221200 has 30 divisors (see below), whose sum is σ = 96446492394. Its totient is φ = 16057688320.

The previous prime is 40144221199. The next prime is 40144221203. The reversal of 40144221200 is 212244104.

It can be written as a sum of positive squares in 3 ways, for example, as 13131326464 + 27012894736 = 114592^2 + 164356^2 .

It is a super-2 number, since 2×401442212002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40144221203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50179877 + ... + 50180676.

Almost surely, 240144221200 is an apocalyptic number.

40144221200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40144221200 is an abundant number, since it is smaller than the sum of its proper divisors (56302271194).

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

40144221200 is a wasteful number, since it uses less digits than its factorization.

40144221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100360571 (or 100360560 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40144221200 its reverse (212244104), we get a palindrome (40356465304).

The spelling of 40144221200 in words is "forty billion, one hundred forty-four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 100360553 200721106 401442212 501802765 802884424 1003605530 1605768848 2007211060 2509013825 4014422120 5018027650 8028844240 10036055300 20072110600 40144221200