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41423769376900 = 225279281472
BaseRepresentation
bin10010110101100101110010…
…00011110001100010000100
312102200001222201012021001221
421122302321003301202010
520412141334430030100
6224033452243130124
711503524423054511
oct1132627103614204
9172601881167057
1041423769376900
11122207a3996aa9
124790254673944
131a16324780ba1
14a32cc784a308
154bc7d99b501a
hex25acb90f1884

41423769376900 has 81 divisors (see below), whose sum is σ = 91053001661349. Its totient is φ = 16357759073760.

The previous prime is 41423769376877. The next prime is 41423769376909. The reversal of 41423769376900 is 967396732414.

The square root of 41423769376900 is 6436130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14912556975684 + 26511212401216 = 3861678^2 + 5148904^2 .

It is a super-2 number, since 2×414237693769002 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41423769376909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5084538627 + ... + 5084546773.

Almost surely, 241423769376900 is an apocalyptic number.

41423769376900 is the 6436130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41423769376900

41423769376900 is an abundant number, since it is smaller than the sum of its proper divisors (49629232284449).

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

41423769376900 is an frugal number, since it uses more digits than its factorization.

41423769376900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16466 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 61.

The spelling of 41423769376900 in words is "forty-one trillion, four hundred twenty-three billion, seven hundred sixty-nine million, three hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 6241 7900 8147 12482 16294 24964 31205 32588 40735 62410 81470 124820 156025 162940 203675 312050 407350 624100 643613 814700 1287226 2574452 3218065 6436130 12872260 16090325 32180650 50845427 64361300 66373609 101690854 132747218 203381708 254227135 265494436 331868045 508454270 663736090 1016908540 1271135675 1327472180 1659340225 2542271350 3318680450 5084542700 5243515111 6637360900 10487030222 20974060444 26217575555 52435151110 104870302220 131087877775 262175755550 414237693769 524351511100 828475387538 1656950775076 2071188468845 4142376937690 8284753875380 10355942344225 20711884688450 41423769376900