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41012034360 = 233511101330671
BaseRepresentation
bin100110001100100000…
…011111101100111000
310220212012101012122120
4212030200133230320
51132443040044420
630501330121240
72651213353203
oct461440375470
9126765335576
1041012034360
1116436251480
127b46a20220
133b3794426b
141db0b6c93a
151100793d40
hex98c81fb38

41012034360 has 128 divisors (see below), whose sum is σ = 134358082560. Its totient is φ = 9932172800.

The previous prime is 41012034359. The next prime is 41012034391. The reversal of 41012034360 is 6343021014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41012034360.

It is a congruent number.

It is an unprimeable number.

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, 1321825 + ... + 1352495.

It is an arithmetic number, because the mean of its divisors is an integer number (1049672520).

Almost surely, 241012034360 is an apocalyptic number.

41012034360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41012034360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67179041280).

41012034360 is an abundant number, since it is smaller than the sum of its proper divisors (93346048200).

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

41012034360 is a wasteful number, since it uses less digits than its factorization.

41012034360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31709 (or 31705 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41012034360 its reverse (6343021014), we get a palindrome (47355055374).

The spelling of 41012034360 in words is "forty-one billion, twelve million, thirty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1013 1320 2026 3039 4052 5065 6078 8104 10130 11143 12156 15195 20260 22286 24312 30390 30671 33429 40520 44572 55715 60780 61342 66858 89144 92013 111430 121560 122684 133716 153355 167145 184026 222860 245368 267432 306710 334290 337381 368052 445720 460065 613420 668580 674762 736104 920130 1012143 1226840 1337160 1349524 1686905 1840260 2024286 2699048 3373810 3680520 4048572 5060715 6747620 8097144 10121430 13495240 20242860 31069723 40485720 62139446 93209169 124278892 155348615 186418338 248557784 310697230 341766953 372836676 466045845 621394460 683533906 745673352 932091690 1025300859 1242788920 1367067812 1708834765 1864183380 2050601718 2734135624 3417669530 3728366760 4101203436 5126504295 6835339060 8202406872 10253008590 13670678120 20506017180 41012034360