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41211844940 = 22572533172503
BaseRepresentation
bin100110011000011010…
…101101100101001100
310221101010100122020102
4212120122231211030
51133400213014230
630533224510232
72656160621300
oct463032554514
9127333318212
1041211844940
1116529015092
127ba191b378
133b6a163286
141dcd501d00
1511130b2045
hex9986ad94c

41211844940 has 144 divisors (see below), whose sum is σ = 102938859072. Its totient is φ = 13813922304.

The previous prime is 41211844853. The next prime is 41211844951. The reversal of 41211844940 is 4944811214.

It is a junction number, because it is equal to n+sod(n) for n = 41211844894 and 41211844903.

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 47 ways as a sum of consecutive naturals, for example, 16463729 + ... + 16466231.

It is an arithmetic number, because the mean of its divisors is an integer number (714853188).

Almost surely, 241211844940 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 41211844940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51469429536).

41211844940 is an abundant number, since it is smaller than the sum of its proper divisors (61727014132).

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

41211844940 is a wasteful number, since it uses less digits than its factorization.

41211844940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 41211844940 in words is "forty-one billion, two hundred eleven million, eight hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 317 371 490 530 634 742 980 1060 1268 1484 1585 1855 2219 2503 2597 3170 3710 4438 5006 5194 6340 7420 8876 10012 10388 11095 12515 12985 15533 16801 17521 22190 25030 25970 31066 33602 35042 44380 50060 51940 62132 67204 70084 77665 84005 87605 117607 122647 132659 155330 168010 175210 235214 245294 265318 310660 336020 350420 470428 490588 530636 588035 613235 663295 793451 823249 928613 1176070 1226470 1326590 1586902 1646498 1857226 2352140 2452940 2653180 3173804 3292996 3714452 3967255 4116245 4643065 5554157 6500291 7934510 8232490 9286130 11108314 13000582 15869020 16464980 18572260 22216628 26001164 27770785 32501455 38879099 42052903 55541570 65002910 77758198 84105806 111083140 130005820 155516396 168211612 194395495 210264515 294370321 388790990 420529030 588740642 777581980 841058060 1177481284 1471851605 2060592247 2943703210 4121184494 5887406420 8242368988 10302961235 20605922470 41211844940