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42258605400 = 233252112134273
BaseRepresentation
bin100111010110110011…
…110010010101011000
311001002002000120122100
4213112303302111120
51143021200333100
631225140323400
73024131135124
oct472663622530
9131062016570
1042258605400
1116a15976780
1282343a3560
133ca5c9316b
14208c542584
151174e2d400
hex9d6cf2558

42258605400 has 144 divisors (see below), whose sum is σ = 154820235960. Its totient is φ = 10244505600.

The previous prime is 42258605377. The next prime is 42258605419. The reversal of 42258605400 is 450685224.

It is a happy number.

42258605400 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 8 + 605 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1047337 + ... + 1086936.

Almost surely, 242258605400 is an apocalyptic number.

42258605400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42258605400 is an abundant number, since it is smaller than the sum of its proper divisors (112561630560).

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

42258605400 is a wasteful number, since it uses less digits than its factorization.

42258605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134306 (or 2134294 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 42258605400 in words is "forty-two billion, two hundred fifty-eight million, six hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 2134273 4268546 6402819 8537092 10671365 12805638 17074184 19208457 21342730 23477003 25611276 32014095 38416914 42685460 46954006 51222552 53356825 64028190 70431009 76833828 85370920 93908012 96042285 106713650 117385015 128056380 140862018 153667656 160070475 187816024 192084570 211293027 213427300 234770030 256112760 281724036 320140950 352155045 384169140 422586054 426854600 469540060 480211425 563448072 586925075 640281900 704310090 768338280 845172108 939080120 960422850 1056465135 1173850150 1280563800 1408620180 1690344216 1760775225 1920845700 2112930270 2347700300 2817240360 3521550450 3841691400 4225860540 4695400600 5282325675 7043100900 8451721080 10564651350 14086201800 21129302700 42258605400