Search a number
-
+
44102520036 = 223638892
BaseRepresentation
bin101001000100101101…
…110000110011100100
311012211120200011000000
4221010231300303210
51210310221120121
632132130021300
73120621143421
oct510455606344
9135746604000
1044102520036
11177817a5073
128669a17830
13420acba803
1421c53aad48
151231c5d526
hexa44b70ce4

44102520036 has 63 divisors (see below), whose sum is σ = 115745942361. Its totient is φ = 14697059904.

The previous prime is 44102520031. The next prime is 44102520041. The reversal of 44102520036 is 63002520144.

The square root of 44102520036 is 210006.

It is a perfect power (a square), and thus also a powerful number.

44102520036 is a `hidden beast` number, since 4 + 4 + 102 + 520 + 0 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (44102520031) and next prime (44102520041).

It can be written as a sum of positive squares in only one way, i.e., 31967294436 + 12135225600 = 178794^2 + 110160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 44102519991 and 44102520009.

It is not an unprimeable number, because it can be changed into a prime (44102520031) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11338380 + ... + 11342268.

Almost surely, 244102520036 is an apocalyptic number.

44102520036 is the 210006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44102520036

44102520036 is an abundant number, since it is smaller than the sum of its proper divisors (71643422325).

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

44102520036 is an frugal number, since it uses more digits than its factorization.

44102520036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 44102520036 in words is "forty-four billion, one hundred two million, five hundred twenty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3889 7778 11667 15556 23334 35001 46668 70002 105003 140004 210006 315009 420012 630018 945027 1260036 1890054 2835081 3780108 5670162 11340324 15124321 30248642 45372963 60497284 90745926 136118889 181491852 272237778 408356667 544475556 816713334 1225070001 1633426668 2450140002 3675210003 4900280004 7350420006 11025630009 14700840012 22051260018 44102520036