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41101034224 = 2423677921101
BaseRepresentation
bin100110010001110100…
…000000001011110000
310221002101211212111211
4212101310000023300
51133133331043344
630514225445504
72653344012055
oct462164001360
9127071755454
1041101034224
111648150a388
127b707a0894
133b50205bc3
141dbc8d902c
1511084c4334
hex991d002f0

41101034224 has 80 divisors (see below), whose sum is σ = 85407390720. Its totient is φ = 19117612800.

The previous prime is 41101034207. The next prime is 41101034237. The reversal of 41101034224 is 42243010114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41101034195 and 41101034204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937274 + ... + 1958374.

It is an arithmetic number, because the mean of its divisors is an integer number (1067592384).

Almost surely, 241101034224 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 41101034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42703695360).

41101034224 is an abundant number, since it is smaller than the sum of its proper divisors (44306356496).

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

41101034224 is a wasteful number, since it uses less digits than its factorization.

41101034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21278 (or 21272 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 41101034224 its reverse (42243010114), we get a palindrome (83344044338).

The spelling of 41101034224 in words is "forty-one billion, one hundred one million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 67 79 92 134 158 184 268 316 368 536 632 1072 1264 1541 1817 3082 3634 5293 6164 7268 10586 12328 14536 21101 21172 24656 29072 42202 42344 84404 84688 121739 168808 243478 337616 485323 486956 970646 973912 1413767 1666979 1941292 1947824 2827534 3333958 3882584 5655068 6667916 7765168 11310136 13335832 22620272 26671664 32516641 38340517 65033282 76681034 111687593 130066564 153362068 223375186 260133128 306724136 446750372 520266256 613448272 893500744 1787001488 2568814639 5137629278 10275258556 20550517112 41101034224