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211444112440 = 235112320893687
BaseRepresentation
bin1100010011101100001…
…1010001110000111000
3202012202220101211110201
43010323003101300320
511431014143044230
6241045221051544
721163532205211
oct3047303216070
9665686354421
10211444112440
1181744764270
1234b90256bb4
1316c29261742
14a33bd5a408
155777edc5ca
hex313b0d1c38

211444112440 has 64 divisors (see below), whose sum is σ = 541564392960. Its totient is φ = 73545774720.

The previous prime is 211444112437. The next prime is 211444112459. The reversal of 211444112440 is 44211444112.

It is a super-2 number, since 2×2114441124402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211444112399 and 211444112408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10436724 + ... + 10456963.

It is an arithmetic number, because the mean of its divisors is an integer number (8461943640).

Almost surely, 2211444112440 is an apocalyptic number.

211444112440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211444112440 is an abundant number, since it is smaller than the sum of its proper divisors (330120280520).

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

211444112440 is a wasteful number, since it uses less digits than its factorization.

211444112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20893732 (or 20893728 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 211444112440 its reverse (44211444112), we get a palindrome (255655556552).

The spelling of 211444112440 in words is "two hundred eleven billion, four hundred forty-four million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 20893687 41787374 83574748 104468435 167149496 208936870 229830557 417873740 459661114 480554801 835747480 919322228 961109602 1149152785 1838644456 1922219204 2298305570 2402774005 3844438408 4596611140 4805548010 5286102811 9193222280 9611096020 10572205622 19222192040 21144411244 26430514055 42288822488 52861028110 105722056220 211444112440