Search a number
-
+
41230654020 = 22345197129193
BaseRepresentation
bin100110011001100010…
…011101101001000100
310221102102202020110000
4212121202131221010
51133420021412040
630535140001300
72656506530253
oct463142355104
9127372666400
1041230654020
11165386a1686
127ba8090230
133b7101a5ca
141dd1bda79a
151114a7a130
hex99989da44

41230654020 has 120 divisors (see below), whose sum is σ = 129999653784. Its totient is φ = 10938945024.

The previous prime is 41230654019. The next prime is 41230654043. The reversal of 41230654020 is 2045603214.

41230654020 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 0 + 654 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13705853184 + 27524800836 = 117072^2 + 165906^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254544 + ... + 383736.

Almost surely, 241230654020 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 41230654020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64999826892).

41230654020 is an abundant number, since it is smaller than the sum of its proper divisors (88768999764).

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

41230654020 is a wasteful number, since it uses less digits than its factorization.

41230654020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129411 (or 129400 counting only the distinct ones).

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

The spelling of 41230654020 in words is "forty-one billion, two hundred thirty million, six hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 197 270 324 394 405 540 591 788 810 985 1182 1620 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 15957 17730 21276 26595 31914 35460 53190 63828 79785 106380 129193 159570 258386 319140 387579 516772 645965 775158 1162737 1291930 1550316 1937895 2325474 2583860 3488211 3875790 4650948 5813685 6976422 7751580 10464633 11627370 13952844 17441055 20929266 23254740 25451021 34882110 41858532 50902042 52323165 69764220 76353063 101804084 104646330 127255105 152706126 209292660 229059189 254510210 305412252 381765315 458118378 509020420 687177567 763530630 916236756 1145295945 1374355134 1527061260 2061532701 2290591890 2748710268 3435887835 4123065402 4581183780 6871775670 8246130804 10307663505 13743551340 20615327010 41230654020