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42255452240 = 24529152311959
BaseRepresentation
bin100111010110100111…
…110000100001010000
311001001212002101022122
4213112213300201100
51143014343432430
631224544553412
73024062263211
oct472647604120
9131055071278
1042255452240
1116a14112761
128233322868
133ca542aba1
14208bd61408
151174a08ee5
hex9d69f0850

42255452240 has 80 divisors (see below), whose sum is σ = 101706883200. Its totient is φ = 16307268096.

The previous prime is 42255452177. The next prime is 42255452257. The reversal of 42255452240 is 4225455224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42255452240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3527381 + ... + 3539339.

It is an arithmetic number, because the mean of its divisors is an integer number (1271336040).

Almost surely, 242255452240 is an apocalyptic number.

42255452240 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 42255452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50853441600).

42255452240 is an abundant number, since it is smaller than the sum of its proper divisors (59451430960).

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

42255452240 is a wasteful number, since it uses less digits than its factorization.

42255452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13524 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The spelling of 42255452240 in words is "forty-two billion, two hundred fifty-five million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1523 2320 3046 6092 7615 11959 12184 15230 23918 24368 30460 44167 47836 59795 60920 88334 95672 119590 121840 176668 191344 220835 239180 346811 353336 441670 478360 693622 706672 883340 956720 1387244 1734055 1766680 2774488 3468110 3533360 5548976 6936220 13872440 18213557 27744880 36427114 72854228 91067785 145708456 182135570 291416912 364271140 528193153 728542280 1056386306 1457084560 2112772612 2640965765 4225545224 5281931530 8451090448 10563863060 21127726120 42255452240