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41059437342 = 237111910345413
BaseRepresentation
bin100110001111010101…
…010100101100011110
310220222111120112022120
4212033111110230132
51133042203443332
630510142123410
72652330313260
oct461725245436
9126874515276
1041059437342
111645aa88aa0
127b5a880566
133b44700571
141db718bb30
151104a0932c
hex98f554b1e

41059437342 has 128 divisors (see below), whose sum is σ = 108819210240. Its totient is φ = 10005171840.

The previous prime is 41059437301. The next prime is 41059437347. The reversal of 41059437342 is 24373495014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 41059437294 and 41059437303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41059437347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 881428 + ... + 926840.

It is an arithmetic number, because the mean of its divisors is an integer number (850150080).

Almost surely, 241059437342 is an apocalyptic number.

41059437342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41059437342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54409605120).

41059437342 is an abundant number, since it is smaller than the sum of its proper divisors (67759772898).

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

41059437342 is a wasteful number, since it uses less digits than its factorization.

41059437342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45558.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 41059437342 in words is "forty-one billion, fifty-nine million, four hundred thirty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 103 114 133 154 206 209 231 266 309 399 418 462 618 627 721 798 1133 1254 1442 1463 1957 2163 2266 2926 3399 3914 4326 4389 5871 6798 7931 8778 11742 13699 15862 21527 23793 27398 41097 43054 45413 47586 64581 82194 90826 129162 136239 150689 272478 301378 317891 452067 499543 635782 862847 904134 953673 999086 1498629 1725694 1907346 2588541 2997258 3496801 4677539 5177082 6039929 6993602 9355078 9491317 10490403 12079858 14032617 18119787 18982634 20980806 28065234 28473951 32742773 36239574 51452929 56947902 65485546 66439219 88873241 98228319 102905858 132878438 154358787 177746482 196456638 199317657 266619723 308717574 360170503 398635314 533239446 622112687 720341006 977605651 1080511509 1244225374 1866338061 1955211302 2161023018 2932816953 3732676122 5865633906 6843239557 13686479114 20529718671 41059437342