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41045052440 = 23574119718149
BaseRepresentation
bin100110001110011110…
…011100110000011000
310220221111111200221102
4212032132130300120
51133030013134230
630504505530532
72652064121630
oct461636346030
9126844450842
1041045052440
1116452953447
127b55aa3a48
133b41734ba2
141db52c56c0
151103617045
hex98e79cc18

41045052440 has 128 divisors (see below), whose sum is σ = 108673488000. Its totient is φ = 13658910720.

The previous prime is 41045052439. The next prime is 41045052463. The reversal of 41045052440 is 4425054014.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2252486 + ... + 2270634.

It is an arithmetic number, because the mean of its divisors is an integer number (849011625).

Almost surely, 241045052440 is an apocalyptic number.

41045052440 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 41045052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336744000).

41045052440 is an abundant number, since it is smaller than the sum of its proper divisors (67628435560).

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

41045052440 is a wasteful number, since it uses less digits than its factorization.

41045052440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18405 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 41045052440 in words is "forty-one billion, forty-five million, fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 197 205 280 287 328 394 410 574 788 820 985 1148 1379 1435 1576 1640 1970 2296 2758 2870 3940 5516 5740 6895 7880 8077 11032 11480 13790 16154 18149 27580 32308 36298 40385 55160 56539 64616 72596 80770 90745 113078 127043 145192 161540 181490 226156 254086 282695 323080 362980 452312 508172 565390 635215 725960 744109 1016344 1130780 1270430 1488218 2261560 2540860 2976436 3575353 3720545 5081720 5208763 5952872 7150706 7441090 10417526 14301412 14882180 17876765 20835052 25027471 26043815 28602824 29764360 35753530 41670104 50054942 52087630 71507060 100109884 104175260 125137355 143014120 146589473 200219768 208350520 250274710 293178946 500549420 586357892 732947365 1001098840 1026126311 1172715784 1465894730 2052252622 2931789460 4104505244 5130631555 5863578920 8209010488 10261263110 20522526220 41045052440