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23044411440100 = 2252313736243177
BaseRepresentation
bin1010011110101011100011…
…11101010011101111100100
310000121000122122200200202201
411033111301331103233210
511010024423312040400
6121002242332544244
74565621666213131
oct517256175235744
9100530578620681
1023044411440100
117385097545016
1227021b2922084
13cb2103b0337b
145994d9577588
1529e68850a06a
hex14f571f53be4

23044411440100 has 36 divisors (see below), whose sum is σ = 50166137662564. Its totient is φ = 9188314836480.

The previous prime is 23044411440097. The next prime is 23044411440107. The reversal of 23044411440100 is 104411444032.

It can be written as a sum of positive squares in 6 ways, for example, as 4374614867364 + 18669796572736 = 2091558^2 + 4320856^2 .

It is a super-2 number, since 2×230444114401002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23044411440107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368090289 + ... + 368152888.

Almost surely, 223044411440100 is an apocalyptic number.

23044411440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23044411440100 is an abundant number, since it is smaller than the sum of its proper divisors (27121726222464).

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

23044411440100 is a wasteful number, since it uses less digits than its factorization.

23044411440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736243504 (or 736243497 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 23044411440100 its reverse (104411444032), we get a palindrome (23148822884132).

The spelling of 23044411440100 in words is "twenty-three trillion, forty-four billion, four hundred eleven million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 626 1252 1565 3130 6260 7825 15650 31300 736243177 1472486354 2944972708 3681215885 7362431770 14724863540 18406079425 36812158850 73624317700 230444114401 460888228802 921776457604 1152220572005 2304441144010 4608882288020 5761102860025 11522205720050 23044411440100