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41232134452300 = 225211312157756039
BaseRepresentation
bin10010110000000000110101…
…01110100011010001001100
312101222202100100021102202221
421120000122232203101030
520401021402404433200
6223405440413425124
711453631505063441
oct1130003256432114
9171882310242687
1041232134452300
11121574a4a84860
12475b09249b1a4
131a01234508a8c
14a279087059c8
154b7820b0191a
hex25801aba344c

41232134452300 has 144 divisors (see below), whose sum is σ = 100762810767360. Its totient is φ = 14508910656000.

The previous prime is 41232134452291. The next prime is 41232134452337. The reversal of 41232134452300 is 325443123214.

It is a super-3 number, since 3×412321344523003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735747681 + ... + 735803719.

It is an arithmetic number, because the mean of its divisors is an integer number (699741741440).

Almost surely, 241232134452300 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 41232134452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50381405383680).

41232134452300 is an abundant number, since it is smaller than the sum of its proper divisors (59530676315060).

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

41232134452300 is a wasteful number, since it uses less digits than its factorization.

41232134452300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77672 (or 77665 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 41232134452300 its reverse (325443123214), we get a palindrome (41557577575514).

The spelling of 41232134452300 in words is "forty-one trillion, two hundred thirty-two billion, one hundred thirty-four million, four hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 21577 34100 43154 56039 86308 107885 112078 215770 224156 237347 280195 431540 474694 539425 560390 616429 668887 949388 1078850 1120780 1186735 1232858 1337774 1400975 1737209 2157700 2373470 2465716 2675548 2801950 3082145 3344435 3474418 4746940 5603900 5933675 6164290 6688870 6948836 7357757 8686045 11867350 12328580 13377740 14715514 15410725 16722175 17372090 19109299 23734700 29431028 30821450 33444350 34744180 36788785 38218598 43430225 61642900 66888700 73577570 76437196 86860450 95546495 147155140 173720900 183943925 191092990 367887850 382185980 477732475 735775700 955464950 1209153503 1910929900 2418307006 4836614012 6045767515 12091535030 13300688533 24183070060 26601377066 30228837575 37483758593 53202754132 60457675150 66503442665 74967517186 120915350300 133006885330 149935034372 187418792965 266013770660 332517213325 374837585930 412321344523 665034426650 749675171860 824642689046 937093964825 1330068853300 1649285378092 1874187929650 2061606722615 3748375859300 4123213445230 8246426890460 10308033613075 20616067226150 41232134452300