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200040040002 = 2311191277124919
BaseRepresentation
bin1011101001001101010…
…0001100011001000010
3201010100010121221001110
42322103110030121002
511234140222240002
6231521440144150
720311115166465
oct2722324143102
9633303557043
10200040040002
1177922429910
1232929008056
1315b2c6cac9a
1499795452dc
15530bc32e6c
hex2e9350c642

200040040002 has 64 divisors (see below), whose sum is σ = 459785548800. Its totient is φ = 57382332480.

The previous prime is 200040040001. The next prime is 200040040003.

200040040002 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (200040040001) and next prime (200040040003).

It is a self number, because there is not a number n which added to its sum of digits gives 200040040002.

It is not an unprimeable number, because it can be changed into a prime (200040040001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538899 + ... + 1663817.

It is an arithmetic number, because the mean of its divisors is an integer number (7184149200).

Almost surely, 2200040040002 is an apocalyptic number.

200040040002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200040040002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229892774400).

200040040002 is an abundant number, since it is smaller than the sum of its proper divisors (259745508798).

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

200040040002 is a wasteful number, since it uses less digits than its factorization.

200040040002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126231.

The product of its (nonzero) digits is 64, while the sum is 12.

It can be divided in two parts, 2000400 and 40002, that added together give a palindrome (2040402).

The spelling of 200040040002 in words is "two hundred billion, forty million, forty thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1277 2554 3831 7662 14047 24263 28094 42141 48526 72789 84282 124919 145578 249838 266893 374757 533786 749514 800679 1374109 1601358 2373461 2748218 4122327 4746922 7120383 8244654 14240766 26108071 52216142 78324213 156648426 159521563 319043126 478564689 957129378 1754737193 3030909697 3509474386 5264211579 6061819394 9092729091 10528423158 18185458182 33340006667 66680013334 100020020001 200040040002