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11143014430440 = 2335234037324069
BaseRepresentation
bin1010001000100110111101…
…1010101011011011101000
31110110021001211112111020110
42202021233122223123220
52430031343143233230
635411010303054320
72230025166606504
oct242115732533350
943407054474213
1011143014430440
1136067a916a282
1212bb710ba13a0
1362aa216808a9
142a7479285304
15144cc6d704b0
hexa226f6ab6e8

11143014430440 has 64 divisors (see below), whose sum is σ = 34882479964800. Its totient is φ = 2842276143872.

The previous prime is 11143014430421. The next prime is 11143014430489. The reversal of 11143014430440 is 4403441034111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11143014430398 and 11143014430407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018659275 + ... + 2018664794.

It is an arithmetic number, because the mean of its divisors is an integer number (545038749450).

Almost surely, 211143014430440 is an apocalyptic number.

11143014430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11143014430440 is an abundant number, since it is smaller than the sum of its proper divisors (23739465534360).

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

11143014430440 is a wasteful number, since it uses less digits than its factorization.

11143014430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037324106 (or 4037324102 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11143014430440 its reverse (4403441034111), we get a palindrome (15546455464551).

The spelling of 11143014430440 in words is "eleven trillion, one hundred forty-three billion, fourteen million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4037324069 8074648138 12111972207 16149296276 20186620345 24223944414 32298592552 40373240690 48447888828 60559861035 80746481380 92858453587 96895777656 121119722070 161492962760 185716907174 242239444140 278575360761 371433814348 464292267935 484478888280 557150721522 742867628696 928584535870 1114301443044 1392876803805 1857169071740 2228602886088 2785753607610 3714338143480 5571507215220 11143014430440