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242133442320 = 243571113102459
BaseRepresentation
bin1110000110000001000…
…1110001111100010000
3212010222200210022200010
43201200101301330100
512431342130123240
6303122355554520
723331202205160
oct3414021617420
9763880708603
10242133442320
119376301a010
123ab15bbba40
1319aaa39b333
14ba0db625a0
1564723cc280
hex3860471f10

242133442320 has 160 divisors (see below), whose sum is σ = 935830103040. Its totient is φ = 50313438720.

The previous prime is 242133442211. The next prime is 242133442321. The reversal of 242133442320 is 23244331242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (242133442321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6532750 + ... + 6569709.

It is an arithmetic number, because the mean of its divisors is an integer number (5848938144).

Almost surely, 2242133442320 is an apocalyptic number.

242133442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242133442320 is an abundant number, since it is smaller than the sum of its proper divisors (693696660720).

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

242133442320 is a wasteful number, since it uses less digits than its factorization.

242133442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102493 (or 13102487 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242133442320 its reverse (23244331242), we get a palindrome (265377773562).

The spelling of 242133442320 in words is "two hundred forty-two billion, one hundred thirty-three million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 13102459 26204918 39307377 52409836 65512295 78614754 91717213 104819672 131024590 144127049 157229508 183434426 196536885 209639344 262049180 275151639 288254098 314459016 366868852 393073770 432381147 458586065 524098360 550303278 576508196 628918032 720635245 733737704 786147540 864762294 917172130 1008889343 1048196720 1100606556 1153016392 1375758195 1441270490 1467475408 1572295080 1729524588 1834344260 2017778686 2161905735 2201213112 2306032784 2751516390 2882540980 3026668029 3144590160 3459049176 3668688520 4035557372 4323811470 4402426224 5044446715 5503032780 5765081960 6053336058 6918098352 7337377040 8071114744 8647622940 10088893430 11006065560 11530163920 12106672116 15133340145 16142229488 17295245880 20177786860 22012131120 24213344232 30266680290 34590491760 40355573720 48426688464 60533360580 80711147440 121066721160 242133442320