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11240140013244 = 22331573731777213
BaseRepresentation
bin1010001110010000110010…
…0011010111111010111100
31110210112202200110022101000
42203210030203113322330
52433124301320410434
635523352105250300
72240034101465112
oct243441443277274
943715680408330
1011240140013244
113643a0a00a17a
1213164b8193990
13636c2c808b4c
142ac05066dab2
151475ada70b99
hexa390c8d7ebc

11240140013244 has 96 divisors (see below), whose sum is σ = 29405356312640. Its totient is φ = 3712866004224.

The previous prime is 11240140013213. The next prime is 11240140013257. The reversal of 11240140013244 is 44231004104211.

11240140013244 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 1 + 400 + 13 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5435982 + ... + 7213194.

Almost surely, 211240140013244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240140013244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702678156320).

11240140013244 is an abundant number, since it is smaller than the sum of its proper divisors (18165216299396).

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

11240140013244 is a wasteful number, since it uses less digits than its factorization.

11240140013244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777756 (or 1777748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11240140013244 its reverse (44231004104211), we get a palindrome (55471144117455).

The spelling of 11240140013244 in words is "eleven trillion, two hundred forty billion, one hundred forty million, thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 373 471 628 746 942 1119 1413 1492 1884 2238 2826 3357 4239 4476 5652 6714 8478 10071 13428 16956 20142 40284 58561 117122 175683 234244 351366 527049 702732 1054098 1581147 1777213 2108196 3162294 3554426 5331639 6324588 7108852 10663278 15994917 21326556 31989834 47984751 63979668 95969502 191939004 279022441 558044882 662900449 837067323 1116089764 1325800898 1674134646 1988701347 2511201969 2651601796 3348269292 3977402694 5022403938 5966104041 7533605907 7954805388 10044807876 11932208082 15067211814 17898312123 23864416164 30134423628 35796624246 71593248492 104075370493 208150740986 312226111479 416301481972 624452222958 936678334437 1248904445916 1873356668874 2810035003311 3746713337748 5620070006622 11240140013244