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142321105440 = 25325333129671
BaseRepresentation
bin1000010010001011111…
…1111011101000100000
3111121100121021020211100
42010202333323220200
54312433200333230
6145214215114400
713165564302363
oct2044277735040
9447317236740
10142321105440
11553a360aaa8
12236bb072a00
1310561716777
146c619d20da
153a7e8b1660
hex2122ffba20

142321105440 has 144 divisors (see below), whose sum is σ = 485832949056. Its totient is φ = 37939622400.

The previous prime is 142321105439. The next prime is 142321105441. The reversal of 142321105440 is 44501123241.

142321105440 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 110 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142321105439) and next prime (142321105441).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (142321105441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4781805 + ... + 4811475.

It is an arithmetic number, because the mean of its divisors is an integer number (3373839924).

Almost surely, 2142321105440 is an apocalyptic number.

142321105440 is a gapful number since it is divisible by the number (10) 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 142321105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242916474528).

142321105440 is an abundant number, since it is smaller than the sum of its proper divisors (343511843616).

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

142321105440 is a wasteful number, since it uses less digits than its factorization.

142321105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33023 (or 33012 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 142321105440 its reverse (44501123241), we get a palindrome (186822228681).

The spelling of 142321105440 in words is "one hundred forty-two billion, three hundred twenty-one million, one hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3331 6662 9993 13324 16655 19986 26648 29671 29979 33310 39972 49965 53296 59342 59958 66620 79944 89013 99930 106592 118684 119916 133240 148355 149895 159888 178026 199860 237368 239832 266480 267039 296710 299790 319776 356052 399720 445065 474736 479664 532960 534078 593420 599580 712104 799440 890130 949472 959328 1068156 1186840 1199160 1335195 1424208 1598880 1780260 2136312 2373680 2398320 2670390 2848416 3560520 4272624 4747360 4796640 5340780 7121040 8545248 10681560 14242080 21363120 42726240 98834101 197668202 296502303 395336404 494170505 593004606 790672808 889506909 988341010 1186009212 1482511515 1581345616 1779013818 1976682020 2372018424 2965023030 3162691232 3558027636 3953364040 4447534545 4744036848 5930046060 7116055272 7906728080 8895069090 9488073696 11860092120 14232110544 15813456160 17790138180 23720184240 28464221088 35580276360 47440368480 71160552720 142321105440