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42301111440 = 2435773344921
BaseRepresentation
bin100111011001010101…
…111011110010010000
311001012001000002222010
4213121111323302100
51143113041031230
631233255342520
73025155341340
oct473125736220
9131161002863
1042301111440
1116a37969135
128246681a40
133cb1a26573
142094048d20
151178a279b0
hex9d957bc90

42301111440 has 160 divisors (see below), whose sum is σ = 151920205056. Its totient is φ = 9536348160.

The previous prime is 42301111421. The next prime is 42301111451. The reversal of 42301111440 is 4411110324.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49821 + ... + 295100.

Almost surely, 242301111440 is an apocalyptic number.

42301111440 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 42301111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75960102528).

42301111440 is an abundant number, since it is smaller than the sum of its proper divisors (109619093616).

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

42301111440 is a wasteful number, since it uses less digits than its factorization.

42301111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345017 (or 345011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42301111440 its reverse (4411110324), we get a palindrome (46712221764).

The spelling of 42301111440 in words is "forty-two billion, three hundred one million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 73 80 84 105 112 120 140 146 168 210 219 240 280 292 336 365 420 438 511 560 584 730 840 876 1022 1095 1168 1460 1533 1680 1752 2044 2190 2555 2920 3066 3504 4088 4380 5110 5840 6132 7665 8176 8760 10220 12264 15330 17520 20440 24528 30660 40880 61320 122640 344921 689842 1034763 1379684 1724605 2069526 2414447 2759368 3449210 4139052 4828894 5173815 5518736 6898420 7243341 8278104 9657788 10347630 12072235 13796840 14486682 16556208 19315576 20695260 24144470 25179233 27593680 28973364 36216705 38631152 41390520 48288940 50358466 57946728 72433410 75537699 82781040 96577880 100716932 115893456 125896165 144866820 151075398 176254631 193155760 201433864 251792330 289733640 302150796 352509262 377688495 402867728 503584660 528763893 579467280 604301592 705018524 755376990 881273155 1007169320 1057527786 1208603184 1410037048 1510753980 1762546310 2014338640 2115055572 2643819465 2820074096 3021507960 3525092620 4230111144 5287638930 6043015920 7050185240 8460222288 10575277860 14100370480 21150555720 42301111440