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42238359280 = 2451327574127
BaseRepresentation
bin100111010101100110…
…100011011011110000
311001000122220222012001
4213111212203123300
51143001004444110
631223134343344
73023464062415
oct472546433360
9131018828161
1042238359280
1116a054a8547
12822965ab54
133ca1a24a00
14208999210c
15117327e63a
hex9d59a36f0

42238359280 has 120 divisors (see below), whose sum is σ = 106505718912. Its totient is φ = 15571325952.

The previous prime is 42238359221. The next prime is 42238359283. The reversal of 42238359280 is 8295383224.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42238359280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42238359283) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10232577 + ... + 10236703.

Almost surely, 242238359280 is an apocalyptic number.

42238359280 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 42238359280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53252859456).

42238359280 is an abundant number, since it is smaller than the sum of its proper divisors (64267359632).

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

42238359280 is a wasteful number, since it uses less digits than its factorization.

42238359280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 42238359280 in words is "forty-two billion, two hundred thirty-eight million, three hundred fifty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 757 845 1040 1352 1514 1690 2704 3028 3380 3785 4127 6056 6760 7570 8254 9841 12112 13520 15140 16508 19682 20635 30280 33016 39364 41270 49205 53651 60560 66032 78728 82540 98410 107302 127933 157456 165080 196820 214604 255866 268255 330160 393640 429208 511732 536510 639665 697463 787280 858416 1023464 1073020 1279330 1394926 2046928 2146040 2558660 2789852 3124139 3487315 4292080 5117320 5579704 6248278 6974630 10234640 11159408 12496556 13949260 15620695 24993112 27898520 31241390 40613807 49986224 55797040 62482780 81227614 124965560 162455228 203069035 249931120 324910456 406138070 527979491 649820912 812276140 1055958982 1624552280 2111917964 2639897455 3249104560 4223835928 5279794910 8447671856 10559589820 21119179640 42238359280