Search a number
-
+
4411122202044 = 2233231979897329
BaseRepresentation
bin100000000110000101101…
…0111110011010110111100
3120121200212200122110212000
41000030023113303112330
51034232434240431134
613214235213342300
7633456502032135
oct100141327632674
916550780573760
104411122202044
111450823537a88
125b2aa3a97990
1325cc757796cc
141136dc702c8c
1579b24030e99
hex4030b5f35bc

4411122202044 has 96 divisors (see below), whose sum is σ = 11939514048000. Its totient is φ = 1405732508928.

The previous prime is 4411122201991. The next prime is 4411122202061. The reversal of 4411122202044 is 4402022211144.

4411122202044 is a `hidden beast` number, since 4 + 411 + 1 + 2 + 2 + 202 + 0 + 44 = 666.

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 = 4411122201999 and 4411122202017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4467172 + ... + 5364500.

It is an arithmetic number, because the mean of its divisors is an integer number (124369938000).

Almost surely, 24411122202044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4411122202044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969757024000).

4411122202044 is an abundant number, since it is smaller than the sum of its proper divisors (7528391845956).

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

4411122202044 is a wasteful number, since it uses less digits than its factorization.

4411122202044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899344 (or 899336 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4411122202044 its reverse (4402022211144), we get a palindrome (8813144413188).

The spelling of 4411122202044 in words is "four trillion, four hundred eleven billion, one hundred twenty-two million, two hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1979 2484 3958 5937 7916 11874 17811 23748 35622 45517 53433 71244 91034 106866 136551 182068 213732 273102 409653 546204 819306 897329 1228959 1638612 1794658 2457918 2691987 3589316 4915836 5383974 8075961 10767948 16151922 20638567 24227883 32303844 41277134 48455766 61915701 82554268 96911532 123831402 185747103 247662804 371494206 557241309 742988412 1114482618 1775814091 2228965236 3551628182 5327442273 7103256364 10654884546 15982326819 21309769092 31964653638 40843724093 47946980457 63929307276 81687448186 95893960914 122531172279 163374896372 191787921828 245062344558 367593516837 490124689116 735187033674 1102780550511 1470374067348 2205561101022 4411122202044