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41212355544 = 23323182922273
BaseRepresentation
bin100110011000011100…
…101010001111011000
310221101011022120122200
4212120130222033120
51133400330334134
630533243450200
72656165146033
oct463034521730
9127334276580
1041212355544
1116529333778
127ba1b26960
133b6a2b17c9
141dcd5d601a
151113163499
hex99872a3d8

41212355544 has 96 divisors (see below), whose sum is σ = 115361500800. Its totient is φ = 13277675520.

The previous prime is 41212355501. The next prime is 41212355549. The reversal of 41212355544 is 44555321214.

41212355544 is a `hidden beast` number, since 41 + 2 + 1 + 23 + 55 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41212355499 and 41212355508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41212355549) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1839192 + ... + 1861464.

It is an arithmetic number, because the mean of its divisors is an integer number (1201682300).

Almost surely, 241212355544 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 41212355544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57680750400).

41212355544 is an abundant number, since it is smaller than the sum of its proper divisors (74149145256).

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

41212355544 is a wasteful number, since it uses less digits than its factorization.

41212355544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23145 (or 23138 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 41212355544 its reverse (44555321214), we get a palindrome (85767676758).

The spelling of 41212355544 in words is "forty-one billion, two hundred twelve million, three hundred fifty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 829 1116 1658 2232 2487 3316 4974 6632 7461 9948 14922 19896 22273 25699 29844 44546 51398 59688 66819 77097 89092 102796 133638 154194 178184 200457 205592 231291 267276 308388 400914 462582 534552 616776 690463 801828 925164 1380926 1603656 1850328 2071389 2761852 4142778 5523704 6214167 8285556 12428334 16571112 18464317 24856668 36928634 49713336 55392951 73857268 110785902 147714536 166178853 221571804 332357706 443143608 572393827 664715412 1144787654 1329430824 1717181481 2289575308 3434362962 4579150616 5151544443 6868725924 10303088886 13737451848 20606177772 41212355544