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4408410380112 = 243230613960973
BaseRepresentation
bin100000000100110100110…
…1111000001011101010000
3120121102212200212122111200
41000021221233001131100
51034211411024130422
613213110141511200
7633332342650554
oct100115157013520
916542780778450
104408410380112
11144a661807032
125b2467872500
1325c9329b404b
141135224b3864
1579a15e132ac
hex40269bc1750

4408410380112 has 30 divisors (see below), whose sum is σ = 12337426272522. Its totient is φ = 1469470126656.

The previous prime is 4408410380057. The next prime is 4408410380117. The reversal of 4408410380112 is 2110830148044.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2228523494976 + 2179886885136 = 1492824^2 + 1476444^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4408410380117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15306980343 + ... + 15306980630.

Almost surely, 24408410380112 is an apocalyptic number.

It is an amenable number.

4408410380112 is an abundant number, since it is smaller than the sum of its proper divisors (7929015892410).

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

4408410380112 is a wasteful number, since it uses less digits than its factorization.

4408410380112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30613960987 (or 30613960978 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 4408410380112 in words is "four trillion, four hundred eight billion, four hundred ten million, three hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 30613960973 61227921946 91841882919 122455843892 183683765838 244911687784 275525648757 367367531676 489823375568 551051297514 734735063352 1102102595028 1469470126704 2204205190056 4408410380112