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42310134001440 = 2532541716635061
BaseRepresentation
bin10011001111011000110001…
…00000011110111100100000
312112210210211222121111120100
421213230120200132330200
521021202123301021230
6225553001321142400
711624543364054024
oct1147543040367440
9175723758544510
1042310134001440
1112532699691458
1248b3ba232aa00
131a7baa0334a96
14a63b6dd52384
154d58b4dd5660
hex267b1881ef20

42310134001440 has 144 divisors (see below), whose sum is σ = 147904877176056. Its totient is φ = 11007514521600.

The previous prime is 42310134001423. The next prime is 42310134001453. The reversal of 42310134001440 is 4410043101324.

42310134001440 is a `hidden beast` number, since 4 + 2 + 310 + 1 + 340 + 0 + 1 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33709310864784 + 8600823136656 = 5805972^2 + 2932716^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358258491 + ... + 358376570.

Almost surely, 242310134001440 is an apocalyptic number.

42310134001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42310134001440 is an abundant number, since it is smaller than the sum of its proper divisors (105594743174616).

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

42310134001440 is a wasteful number, since it uses less digits than its factorization.

42310134001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716635123 (or 716635112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42310134001440 its reverse (4410043101324), we get a palindrome (46720177102764).

The spelling of 42310134001440 in words is "forty-two trillion, three hundred ten billion, one hundred thirty-four million, one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 716635061 1433270122 2149905183 2866540244 3583175305 4299810366 5733080488 6449715549 7166350610 8599620732 10749525915 11466160976 12899431098 14332701220 17199241464 21499051830 22932321952 25798862196 28665402440 29382037501 32248577745 34398482928 42998103660 51597724392 57330804880 58764075002 64497155490 68796965856 85996207320 88146112503 103195448784 114661609760 117528150004 128994310980 146910187505 171992414640 176292225006 206390897568 235056300008 257988621960 264438337509 293820375010 343984829280 352584450012 440730562515 470112600016 515977243920 528876675018 587640750020 705168900024 881461125030 940225200032 1031954487840 1057753350036 1175281500040 1322191687545 1410337800048 1762922250060 2115506700072 2350563000080 2644383375090 2820675600096 3525844500120 4231013400144 4701126000160 5288766750180 7051689000240 8462026800288 10577533500360 14103378000480 21155067000720 42310134001440