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41244501200 = 2452719974021
BaseRepresentation
bin100110011010010111…
…010010010011010000
310221110101210202012112
4212122113102103100
51133432043014300
630540352444452
72660035322120
oct463227222320
9127411722175
1041244501200
111654549a231
127bb0849728
133b73b582c6
141dd39a2c80
151115db2e35
hex99a5d24d0

41244501200 has 120 divisors (see below), whose sum is σ = 113816227200. Its totient is φ = 14069721600.

The previous prime is 41244501197. The next prime is 41244501203. The reversal of 41244501200 is 210544214.

It is an interprime number because it is at equal distance from previous prime (41244501197) and next prime (41244501203).

It is a super-2 number, since 2×412445012002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41244501203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520190 + ... + 594210.

It is an arithmetic number, because the mean of its divisors is an integer number (948468560).

Almost surely, 241244501200 is an apocalyptic number.

41244501200 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 41244501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56908113600).

41244501200 is an abundant number, since it is smaller than the sum of its proper divisors (72571726000).

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

41244501200 is a wasteful number, since it uses less digits than its factorization.

41244501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74245 (or 74234 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The spelling of 41244501200 in words is "forty-one billion, two hundred forty-four million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 199 200 280 350 398 400 560 700 796 995 1393 1400 1592 1990 2786 2800 3184 3980 4975 5572 6965 7960 9950 11144 13930 15920 19900 22288 27860 34825 39800 55720 69650 74021 79600 111440 139300 148042 278600 296084 370105 518147 557200 592168 740210 1036294 1184336 1480420 1850525 2072588 2590735 2960840 3701050 4145176 5181470 5921680 7402100 8290352 10362940 12953675 14730179 14804200 20725880 25907350 29460358 29608400 41451760 51814700 58920716 73650895 103111253 103629400 117841432 147301790 206222506 207258800 235682864 294603580 368254475 412445012 515556265 589207160 736508950 824890024 1031112530 1178414320 1473017900 1649780048 2062225060 2577781325 2946035800 4124450120 5155562650 5892071600 8248900240 10311125300 20622250600 41244501200