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123242033241140 = 225112683306124359
BaseRepresentation
bin11100000001011010000101…
…100111001101110000110100
3121011100211020012021212212212
4130001122011213031300310
5112123144141002204030
61114040335232432552
734646641321065632
oct3401320547156064
9534324205255785
10123242033241140
11362a571a940300
12119a516b6a8758
13539c89b643958
142260d36684352
15e3ac1c582595
hex7016859cdc34

123242033241140 has 144 divisors (see below), whose sum is σ = 284996484823680. Its totient is φ = 44733213676800.

The previous prime is 123242033241037. The next prime is 123242033241149. The reversal of 123242033241140 is 41142330242321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123242033241097 and 123242033241106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123242033241149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5059392281 + ... + 5059416639.

It is an arithmetic number, because the mean of its divisors is an integer number (1979142255720).

Almost surely, 2123242033241140 is an apocalyptic number.

123242033241140 is a gapful number since it is divisible by the number (10) 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 123242033241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142498242411840).

123242033241140 is an abundant number, since it is smaller than the sum of its proper divisors (161754451582540).

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

123242033241140 is a wasteful number, since it uses less digits than its factorization.

123242033241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28134 (or 28121 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 123242033241140 its reverse (41142330242321), we get a palindrome (164384363483461).

The spelling of 123242033241140 in words is "one hundred twenty-three trillion, two hundred forty-two billion, thirty-three million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 683 1210 1366 2420 2732 3061 3415 6122 6830 7513 12244 13660 15026 15305 24359 30052 30610 33671 37565 48718 61220 67342 75130 82643 97436 121795 134684 150260 165286 168355 243590 267949 330572 336710 370381 413215 487180 535898 673420 740762 826430 1071796 1339745 1481524 1652860 1851905 2090663 2679490 2947439 3703810 4181326 5358980 5894878 7407620 8362652 10453315 11789756 14737195 16637197 20906630 22997293 29474390 33274394 41813260 45994586 58948780 66548788 74562899 83185985 91989172 114986465 149125798 166371970 183009167 229972930 252970223 298251596 332743940 366018334 372814495 459945860 505940446 732036668 745628990 820191889 915045835 1011880892 1264851115 1491257980 1640383778 1830091670 2013100837 2529702230 3280767556 3660183340 4026201674 4100959445 5059404460 8052403348 8201918890 9022110779 10065504185 16403837780 18044221558 20131008370 36088443116 40262016740 45110553895 50926460017 90221107790 101852920034 180442215580 203705840068 254632300085 509264600170 560191060187 1018529200340 1120382120374 2240764240748 2800955300935 5601910601870 6162101662057 11203821203740 12324203324114 24648406648228 30810508310285 61621016620570 123242033241140