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242156431171400 = 235210975231476551
BaseRepresentation
bin110111000011110101110000…
…000011110101111101001000
31011202101221002001020210100212
4313003311300003311331020
5223214442332334441100
62215005043445420252
7102002140052035454
oct6703656003657510
91152357061223325
10242156431171400
1170181a69433639
12231ab656a0a688
13a51733ab6c705
1443b2610509664
151cee0a0270635
hexdc3d700f5f48

242156431171400 has 96 divisors (see below), whose sum is σ = 568254876235200. Its totient is φ = 95961102624000.

The previous prime is 242156431171367. The next prime is 242156431171441. The reversal of 242156431171400 is 4171134651242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163263125 + ... + 164739675.

It is an arithmetic number, because the mean of its divisors is an integer number (5919321627450).

Almost surely, 2242156431171400 is an apocalyptic number.

242156431171400 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 242156431171400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284127438117600).

242156431171400 is an abundant number, since it is smaller than the sum of its proper divisors (326098445063800).

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

242156431171400 is a wasteful number, since it uses less digits than its factorization.

242156431171400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484199 (or 1484190 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 242156431171400 in words is "two hundred forty-two trillion, one hundred fifty-six billion, four hundred thirty-one million, one hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 7523 10900 15046 21800 30092 37615 60184 75230 150460 188075 300920 376150 752300 820007 1476551 1504600 1640014 2953102 3280028 4100035 5906204 6560056 7382755 8200070 11812408 14765510 16400140 20500175 29531020 32800280 36913775 41000350 59062040 73827550 82000700 147655100 160944059 164001400 295310200 321888118 643776236 804720295 1287552472 1609440590 3218881180 4023601475 6437762360 8047202950 11108093173 16094405900 22216186346 32188811800 44432372692 55540465865 88864745384 111080931730 222161863460 277702329325 444323726920 555404658650 1110809317300 1210782155857 2221618634600 2421564311714 4843128623428 6053910779285 9686257246856 12107821558570 24215643117140 30269553896425 48431286234280 60539107792850 121078215585700 242156431171400