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41220130032 = 243219149101113
BaseRepresentation
bin100110011000111010…
…010100010011110000
310221101200221120020200
4212120322110103300
51133404323130112
630534122235200
72656321216134
oct463072242360
9127350846220
1041220130032
1116532763874
127ba4655b00
133b6baa43b3
141dd065b3c4
151113b9bcdc
hex998e944f0

41220130032 has 120 divisors (see below), whose sum is σ = 122246826000. Its totient is φ = 12929393664.

The previous prime is 41220130019. The next prime is 41220130037. The reversal of 41220130032 is 23003102214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41220129987 and 41220130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41220130037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357108 + ... + 458220.

It is an arithmetic number, because the mean of its divisors is an integer number (1018723550).

Almost surely, 241220130032 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 41220130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61123413000).

41220130032 is an abundant number, since it is smaller than the sum of its proper divisors (81026695968).

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

41220130032 is a wasteful number, since it uses less digits than its factorization.

41220130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101295 (or 101286 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41220130032 its reverse (23003102214), we get a palindrome (64223232246).

The spelling of 41220130032 in words is "forty-one billion, two hundred twenty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 149 152 171 228 298 304 342 447 456 596 684 894 912 1192 1341 1368 1788 2384 2682 2736 2831 3576 5364 5662 7152 8493 10728 11324 16986 21456 22648 25479 33972 45296 50958 67944 101113 101916 135888 202226 203832 303339 404452 407664 606678 808904 910017 1213356 1617808 1820034 1921147 2426712 3640068 3842294 4853424 5763441 7280136 7684588 11526882 14560272 15065837 15369176 17290323 23053764 30131674 30738352 34580646 45197511 46107528 60263348 69161292 90395022 92215056 120526696 135592533 138322584 180790044 241053392 271185066 276645168 286250903 361580088 542370132 572501806 723160176 858752709 1084740264 1145003612 1717505418 2169480528 2290007224 2576258127 3435010836 4580014448 5152516254 6870021672 10305032508 13740043344 20610065016 41220130032