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4422120324141 = 3132956358711831
BaseRepresentation
bin100000001011001101011…
…1010010011110000101101
3120122202021011112222002110
41000112122322103300231
51034423000300333031
613223254413314233
7634326156364062
oct100263272236055
916582234488073
104422120324141
111455457702993
125b5053195979
13261009197370
14114063244c69
157a06984dc46
hex4059ae93c2d

4422120324141 has 64 divisors (see below), whose sum is σ = 6592101304320. Its totient is φ = 2618110360320.

The previous prime is 4422120324131. The next prime is 4422120324157. The reversal of 4422120324141 is 1414230212244.

It is not a de Polignac number, because 4422120324141 - 241 = 2223097068589 is a prime.

It is a super-2 number, since 2×44221203241412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4422120324099 and 4422120324108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422120324121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373768096 + ... + 373779926.

It is an arithmetic number, because the mean of its divisors is an integer number (103001582880).

Almost surely, 24422120324141 is an apocalyptic number.

It is an amenable number.

4422120324141 is a deficient number, since it is larger than the sum of its proper divisors (2169980980179).

4422120324141 is a wasteful number, since it uses less digits than its factorization.

4422120324141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4422120324141 its reverse (1414230212244), we get a palindrome (5836350536385).

The spelling of 4422120324141 in words is "four trillion, four hundred twenty-two billion, one hundred twenty million, three hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 13 29 39 87 377 563 587 1131 1689 1761 7319 7631 11831 16327 17023 21957 22893 35493 48981 51069 153803 212251 221299 330481 343099 461409 636753 663897 991443 1029297 4296253 4460287 6660853 6944797 9583949 12888759 13380861 19982559 20834391 28751847 86591089 90282361 124591337 193164737 201399113 259773267 270847083 373774011 579494211 604197339 2511141581 2618188469 3909920711 7533424743 7854565407 11729762133 50828969243 113387700619 152486907729 340163101857 1474040108047 4422120324141