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41044431120 = 24357112221019
BaseRepresentation
bin100110001110011100…
…000101000100010000
310220221110100010122120
4212032130011010100
51133024333243440
630504444334240
72652055623330
oct461634050420
9126843303576
1041044431120
1116452569660
127b55844380
133b41578144
141db51a30c0
151103542dd0
hex98e705110

41044431120 has 160 divisors (see below), whose sum is σ = 158634132480. Its totient is φ = 8528709120.

The previous prime is 41044431107. The next prime is 41044431139. The reversal of 41044431120 is 2113444014.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1092030 + ... + 1128989.

It is an arithmetic number, because the mean of its divisors is an integer number (991463328).

Almost surely, 241044431120 is an apocalyptic number.

41044431120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41044431120 is an abundant number, since it is smaller than the sum of its proper divisors (117589701360).

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

41044431120 is a wasteful number, since it uses less digits than its factorization.

41044431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221053 (or 2221047 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41044431120 its reverse (2113444014), we get a palindrome (43157875134).

The spelling of 41044431120 in words is "forty-one billion, forty-four million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 2221019 4442038 6663057 8884076 11105095 13326114 15547133 17768152 22210190 24431209 26652228 31094266 33315285 35536304 44420380 46641399 48862418 53304456 62188532 66630570 73293627 77735665 88840760 93282798 97724836 106608912 122156045 124377064 133261140 146587254 155471330 171018463 177681520 186565596 195449672 233206995 244312090 248754128 266522280 293174508 310942660 342036926 366468135 373131192 390899344 466413990 488624180 513055389 533044560 586349016 621885320 684073852 732936270 746262384 855092315 932827980 977248360 1026110778 1172698032 1243770640 1368147704 1465872540 1710184630 1865655960 1954496720 2052221556 2565276945 2736295408 2931745080 3420369260 3731311920 4104443112 5130553890 5863490160 6840738520 8208886224 10261107780 13681477040 20522215560 41044431120