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11054112521440 = 255563805915227
BaseRepresentation
bin1010000011011011110001…
…1100110011110011100000
31110010202121002220120210011
42200312330130303303200
52422102310301141230
635302104510414304
72220430133055442
oct240667434636340
943122532816704
1011054112521440
11358202837a20a
1212a643bb01394
136225241c1401
142a304414a492
151428220ede2a
hexa0dbc733ce0

11054112521440 has 96 divisors (see below), whose sum is σ = 26166691474560. Its totient is φ = 4412953772544.

The previous prime is 11054112521383. The next prime is 11054112521471. The reversal of 11054112521440 is 4412521145011.

11054112521440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725947107 + ... + 725962333.

It is an arithmetic number, because the mean of its divisors is an integer number (272569702860).

Almost surely, 211054112521440 is an apocalyptic number.

11054112521440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11054112521440 is an abundant number, since it is smaller than the sum of its proper divisors (15112578953120).

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

11054112521440 is a wasteful number, since it uses less digits than its factorization.

11054112521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23864 (or 23856 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

Adding to 11054112521440 its reverse (4412521145011), we get a palindrome (15466633666451).

The spelling of 11054112521440 in words is "eleven trillion, fifty-four billion, one hundred twelve million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 563 1126 2252 2815 4504 5630 8059 9008 11260 15227 16118 18016 22520 30454 32236 40295 45040 60908 64472 76135 80590 90080 121816 128944 152270 161180 243632 257888 304540 322360 487264 609080 644720 1218160 1289440 2436320 4537217 8572801 9074434 17145602 18148868 22686085 34291204 36297736 42864005 45372170 68582408 72595472 85728010 90744340 122714393 137164816 145190944 171456020 181488680 245428786 274329632 342912040 362977360 490857572 613571965 685824080 725954720 981715144 1227143930 1371648160 1963430288 2454287860 3926860576 4908575720 9817151440 19634302880 69088203259 138176406518 276352813036 345441016295 552705626072 690882032590 1105411252144 1381764065180 2210822504288 2763528130360 5527056260720 11054112521440