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41042200020 = 223517223180437
BaseRepresentation
bin100110001110010011…
…100100010111010100
310220221022010210011020
4212032103210113110
51133023300400040
630504324441140
72652030641553
oct461623442724
9126838123136
1041042200020
1116451285378
127b54b491b0
133b40c76773
141db4b81d9a
151103251cd0
hex98e4e45d4

41042200020 has 96 divisors (see below), whose sum is σ = 122224370688. Its totient is φ = 10254538752.

The previous prime is 41042199997. The next prime is 41042200027. The reversal of 41042200020 is 2000224014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41042200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137242 + ... + 317678.

It is an arithmetic number, because the mean of its divisors is an integer number (1273170528).

Almost surely, 241042200020 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 41042200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61112185344).

41042200020 is an abundant number, since it is smaller than the sum of its proper divisors (81182170668).

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

41042200020 is a wasteful number, since it uses less digits than its factorization.

41042200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180689 (or 180687 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 41042200020 its reverse (2000224014), we get a palindrome (43042424034).

The spelling of 41042200020 in words is "forty-one billion, forty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 223 255 340 446 510 669 892 1020 1115 1338 2230 2676 3345 3791 4460 6690 7582 11373 13380 15164 18955 22746 37910 45492 56865 75820 113730 180437 227460 360874 541311 721748 902185 1082622 1804370 2165244 2706555 3067429 3608740 5413110 6134858 9202287 10826220 12269716 15337145 18404574 30674290 36809148 40237451 46011435 61348580 80474902 92022870 120712353 160949804 184045740 201187255 241424706 402374510 482849412 603561765 684036667 804749020 1207123530 1368073334 2052110001 2414247060 2736146668 3420183335 4104220002 6840366670 8208440004 10260550005 13680733340 20521100010 41042200020