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11240144214200 = 23521129176177809
BaseRepresentation
bin1010001110010000110011…
…0011011001100010111000
31110210112202222100201222222
42203210030303121202320
52433124303404323300
635523352335303212
72240034152262566
oct243441463314270
943715688321888
1011240144214200
113643a11419440
1213164b967ab08
13636c3064a015
142ac051044a36
151475ae100785
hexa390ccd98b8

11240144214200 has 96 divisors (see below), whose sum is σ = 29492165394000. Its totient is φ = 3946382899200.

The previous prime is 11240144214199. The next prime is 11240144214239. The reversal of 11240144214200 is 241244104211.

It is a self number, because there is not a number n which added to its sum of digits gives 11240144214200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88025105 + ... + 88152704.

Almost surely, 211240144214200 is an apocalyptic number.

11240144214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240144214200 is an abundant number, since it is smaller than the sum of its proper divisors (18252021179800).

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

11240144214200 is a wasteful number, since it uses less digits than its factorization.

11240144214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176177865 (or 176177856 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 11240144214200 its reverse (241244104211), we get a palindrome (11481388318411).

The spelling of 11240144214200 in words is "eleven trillion, two hundred forty billion, one hundred forty-four million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 200 220 232 275 290 319 440 550 580 638 725 1100 1160 1276 1450 1595 2200 2552 2900 3190 5800 6380 7975 12760 15950 31900 63800 176177809 352355618 704711236 880889045 1409422472 1761778090 1937955899 3523556180 3875911798 4404445225 5109156461 7047112360 7751823596 8808890450 9689779495 10218312922 15503647192 17617780900 19379558990 20436625844 25545782305 35235561800 38759117980 40873251688 48448897475 51091564610 56200721071 77518235960 96897794950 102183129220 112401442142 127728911525 193795589900 204366258440 224802884284 255457823050 281003605355 387591179800 449605768568 510915646100 562007210710 1021831292200 1124014421420 1405018026775 2248028842840 2810036053550 5620072107100 11240144214200