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41230240002 = 23373128312433
BaseRepresentation
bin100110011001100000…
…111000100100000010
310221102101222012112000
4212121200320210002
51133414420140002
630535123044430
72656503154230
oct463140704402
9127371865460
1041230240002
1116538439616
127ba7b10716
133b70c04023
141dd1b2d950
1511149e761c
hex999838902

41230240002 has 128 divisors (see below), whose sum is σ = 108480184320. Its totient is φ = 11358869760.

The previous prime is 41230240001. The next prime is 41230240049. The reversal of 41230240002 is 20004203214.

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

It is not an unprimeable number, because it can be changed into a prime (41230240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3309978 + ... + 3322410.

It is an arithmetic number, because the mean of its divisors is an integer number (847501440).

Almost surely, 241230240002 is an apocalyptic number.

41230240002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41230240002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54240092160).

41230240002 is an abundant number, since it is smaller than the sum of its proper divisors (67249944318).

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

41230240002 is a wasteful number, since it uses less digits than its factorization.

41230240002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12759 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 41230240002 its reverse (20004203214), we get a palindrome (61234443216).

The spelling of 41230240002 in words is "forty-one billion, two hundred thirty million, two hundred forty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 283 378 434 558 566 651 837 849 1302 1674 1698 1953 1981 2547 3906 3962 5094 5859 5943 7641 8773 11718 11886 12433 15282 17546 17829 24866 26319 35658 37299 52638 53487 61411 74598 78957 87031 106974 111897 122822 157914 174062 184233 223794 236871 261093 335691 368466 385423 473742 522186 552699 671382 770846 783279 1105398 1156269 1566558 1658097 2312538 2349837 2697961 3316194 3468807 3518539 4699674 5395922 6937614 7037078 8093883 10406421 10555617 16187766 20812842 21111234 24281649 24629773 31666851 48563298 49259546 63333702 72844947 73889319 95000553 109074709 145689894 147778638 190001106 218149418 221667957 327224127 443335914 654448254 665003871 763522963 981672381 1330007742 1527045926 1963344762 2290568889 2945017143 4581137778 5890034286 6871706667 13743413334 20615120001 41230240002