Search a number
-
+
20144405541150 = 23252115419750983
BaseRepresentation
bin1001001010010001111000…
…01000101111000100011110
32122022210020020222001201200
410211020330020233010132
510120021220304304100
6110502113454020330
74146246101615322
oct445107410570436
978283206861650
1020144405541150
116467215845480
1223141547a76a6
13b317bc7c8bc7
144d8dcca07982
1524e007737e00
hex12523c22f11e

20144405541150 has 144 divisors (see below), whose sum is σ = 59052395226240. Its totient is φ = 4882584571200.

The previous prime is 20144405541149. The next prime is 20144405541151. The reversal of 20144405541150 is 5114550444102.

20144405541150 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 40 + 554 + 11 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (20144405541149) and next prime (20144405541151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144405541151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26448559 + ... + 27199541.

It is an arithmetic number, because the mean of its divisors is an integer number (410086077960).

Almost surely, 220144405541150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144405541150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29526197613120).

20144405541150 is an abundant number, since it is smaller than the sum of its proper divisors (38907989685090).

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

20144405541150 is a wasteful number, since it uses less digits than its factorization.

20144405541150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756431 (or 756423 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 20144405541150 its reverse (5114550444102), we get a palindrome (25258955985252).

The spelling of 20144405541150 in words is "twenty trillion, one hundred forty-four billion, four hundred five million, five hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 5419 10838 16257 27095 32514 48771 54190 59609 81285 97542 119218 135475 162570 178827 243855 270950 298045 357654 406425 487710 536481 596090 750983 812850 894135 1072962 1219275 1490225 1501966 1788270 2252949 2438550 2682405 2980450 3754915 4470675 4505898 5364810 6758847 7509830 8260813 8941350 11264745 13412025 13517694 16521626 18774575 22529490 24782439 26824050 33794235 37549150 41304065 49564878 56323725 67588470 74347317 82608130 112647450 123912195 148694634 168971175 206520325 247824390 337942350 371736585 413040650 619560975 743473170 1239121950 1858682925 3717365850 4069576877 8139153754 12208730631 20347884385 24417461262 36626191893 40695768770 44765345647 61043653155 73252383786 89530691294 101739421925 122087306310 134296036941 183130959465 203478843850 223826728235 268592073882 305218265775 366261918930 402888110823 447653456470 610436531550 671480184705 805776221646 915654797325 1119133641175 1342960369410 1831309594650 2014440554115 2238267282350 3357400923525 4028881108230 6714801847050 10072202770575 20144405541150