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242735332380 = 223547269331963
BaseRepresentation
bin1110001000010000100…
…1110011110000011100
3212012112122100111121120
43202010021303300130
512434110221114010
6303302220330540
723352131165532
oct3420411636034
9765478314546
10242735332380
1193a41848a12
123b0636a3a50
1319b74ca92b8
14ba69a7c152
1564aa16ee70
hex3884273c1c

242735332380 has 96 divisors (see below), whose sum is σ = 694399233024. Its totient is φ = 63326694144.

The previous prime is 242735332373. The next prime is 242735332397. The reversal of 242735332380 is 83233537242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7578279 + ... + 7610241.

It is an arithmetic number, because the mean of its divisors is an integer number (7233325344).

Almost surely, 2242735332380 is an apocalyptic number.

242735332380 is a gapful number since it is divisible by the number (20) 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 242735332380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347199616512).

242735332380 is an abundant number, since it is smaller than the sum of its proper divisors (451663900644).

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

242735332380 is a wasteful number, since it uses less digits than its factorization.

242735332380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34715 (or 34713 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 242735332380 in words is "two hundred forty-two billion, seven hundred thirty-five million, three hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2693 2820 5386 8079 10772 13465 16158 26930 31963 32316 40395 53860 63926 80790 95889 126571 127852 159815 161580 191778 253142 319630 379713 383556 479445 506284 632855 639260 759426 958890 1265710 1502261 1518852 1898565 1917780 2531420 3004522 3797130 4506783 6009044 7511305 7594260 9013566 15022610 18027132 22533915 30045220 45067830 86076359 90135660 172152718 258229077 344305436 430381795 516458154 860763590 1032916308 1291145385 1721527180 2582290770 4045588873 5164581540 8091177746 12136766619 16182355492 20227944365 24273533238 40455888730 48547066476 60683833095 80911777460 121367666190 242735332380