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242452253251320 = 23357722939927187
BaseRepresentation
bin110111001000001001010000…
…011011100001011011111000
31011210110012122101200111012020
4313020021100123201123320
5223234314203313020240
62215353005535314440
7102032411566161120
oct6710112033413370
91153405571614166
10242452253251320
1170286472274722
1223238a5507ba20
13a5391c3253658
1443c2a74821c80
151d06b15c620d0
hexdc82506e16f8

242452253251320 has 128 divisors (see below), whose sum is σ = 831379879411200. Its totient is φ = 55409990478336.

The previous prime is 242452253251261. The next prime is 242452253251333. The reversal of 242452253251320 is 23152352254242.

It is a super-2 number, since 2×2424522532513202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 13891234 + ... + 26035953.

It is an arithmetic number, because the mean of its divisors is an integer number (6495155307900).

Almost surely, 2242452253251320 is an apocalyptic number.

242452253251320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242452253251320 is an abundant number, since it is smaller than the sum of its proper divisors (588927626159880).

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

242452253251320 is a wasteful number, since it uses less digits than its factorization.

242452253251320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39934437 (or 39934433 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 242452253251320 in words is "two hundred forty-two trillion, four hundred fifty-two billion, two hundred fifty-three million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 7229 14458 21687 28916 36145 43374 50603 57832 72290 86748 101206 108435 144580 151809 173496 202412 216870 253015 289160 303618 404824 433740 506030 607236 759045 867480 1012060 1214472 1518090 2024120 3036180 6072360 39927187 79854374 119781561 159708748 199635935 239563122 279490309 319417496 399271870 479126244 558980618 598907805 798543740 838470927 958252488 1117961236 1197815610 1397451545 1597087480 1676941854 2235922472 2395631220 2794903090 3353883708 4192354635 4791262440 5589806180 6707767416 8384709270 11179612360 16769418540 33538837080 288633634823 577267269646 865900904469 1154534539292 1443168174115 1731801808938 2020435443761 2309069078584 2886336348230 3463603617876 4040870887522 4329504522345 5772672696460 6061306331283 6927207235752 8081741775044 8659009044690 10102177218805 11545345392920 12122612662566 16163483550088 17318018089380 20204354437610 24245225325132 30306531656415 34636036178760 40408708875220 48490450650264 60613063312830 80817417750440 121226126625660 242452253251320