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11240204322420 = 223251926912217879
BaseRepresentation
bin1010001110010001000001…
…1000101100011001110100
31110210112221011110112222100
42203210100120230121310
52433124414301304140
635523402323502100
72240035512220323
oct243442030543164
943715834415870
1011240204322420
113643a42343657
121316515827930
13636c3cc34308
142ac0590100ba
151475b4525530
hexa391062c674

11240204322420 has 144 divisors (see below), whose sum is σ = 36023197392000. Its totient is φ = 2829074086656.

The previous prime is 11240204322383. The next prime is 11240204322449. The reversal of 11240204322420 is 2422340204211.

It is a happy number.

11240204322420 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 204 + 32 + 2 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5188960 + ... + 7028919.

It is an arithmetic number, because the mean of its divisors is an integer number (250161093000).

Almost surely, 211240204322420 is an apocalyptic number.

11240204322420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240204322420 is an abundant number, since it is smaller than the sum of its proper divisors (24782993069580).

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

11240204322420 is a wasteful number, since it uses less digits than its factorization.

11240204322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218182 (or 12218177 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11240204322420 its reverse (2422340204211), we get a palindrome (13662544526631).

The spelling of 11240204322420 in words is "eleven trillion, two hundred forty billion, two hundred four million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 269 285 342 380 538 570 684 807 855 1076 1140 1345 1614 1710 2421 2690 3228 3420 4035 4842 5111 5380 8070 9684 10222 12105 15333 16140 20444 24210 25555 30666 45999 48420 51110 61332 76665 91998 102220 153330 183996 229995 306660 459990 919980 12217879 24435758 36653637 48871516 61089395 73307274 109960911 122178790 146614548 183268185 219921822 232139701 244357580 366536370 439843644 464279402 549804555 696419103 733072740 928558804 1099609110 1160698505 1392838206 2089257309 2199218220 2321397010 2785676412 3286609451 3482095515 4178514618 4642794020 6573218902 6964191030 8357029236 9859828353 10446286545 13146437804 13928382060 16433047255 19719656706 20892573090 29579485059 32866094510 39439313412 41785146180 49299141765 59158970118 62445579569 65732189020 98598283530 118317940236 124891159138 147897425295 187336738707 197196567060 249782318276 295794850590 312227897845 374673477414 562010216121 591589701180 624455795690 749346954828 936683693535 1124020432242 1248911591380 1873367387070 2248040864484 2810051080605 3746734774140 5620102161210 11240204322420