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1410112102344 = 23311151353100207
BaseRepresentation
bin10100100001010001001…
…110110001111111001000
311222210202010200211002220
4110201101032301333020
5141100402144233334
62555444020054040
7203606615051001
oct24412116617710
94883663624086
101410112102344
114a403057a470
121a9357834320
13a2c858b459a
144c36d5d01a8
1526a30cb3449
hex148513b1fc8

1410112102344 has 128 divisors (see below), whose sum is σ = 3882234286080. Its totient is φ = 423270144000.

The previous prime is 1410112102327. The next prime is 1410112102349. The reversal of 1410112102344 is 4432012110141.

It is a happy number.

It is a super-2 number, since 2×14101121023442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1410112102349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14021889 + ... + 14122095.

It is an arithmetic number, because the mean of its divisors is an integer number (30329955360).

Almost surely, 21410112102344 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 1410112102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941117143040).

1410112102344 is an abundant number, since it is smaller than the sum of its proper divisors (2472122183736).

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

1410112102344 is a wasteful number, since it uses less digits than its factorization.

1410112102344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100731 (or 100727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1410112102344 its reverse (4432012110141), we get a palindrome (5842124212485).

The spelling of 1410112102344 in words is "one trillion, four hundred ten billion, one hundred twelve million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 151 264 302 353 453 604 706 906 1059 1208 1412 1661 1812 2118 2824 3322 3624 3883 4236 4983 6644 7766 8472 9966 11649 13288 15532 19932 23298 31064 39864 46596 53303 93192 100207 106606 159909 200414 213212 300621 319818 400828 426424 586333 601242 639636 801656 1102277 1172666 1202484 1279272 1758999 2204554 2345332 2404968 3306831 3517998 4409108 4690664 6613662 7035996 8818216 13227324 14071992 15131257 26454648 30262514 35373071 45393771 60525028 70746142 90787542 106119213 121050056 141492284 166443827 181575084 212238426 282984568 332887654 363150168 389103781 424476852 499331481 665775308 778207562 848953704 998662962 1167311343 1331550616 1556415124 1997325924 2334622686 3112830248 3994651848 4669245372 5341333721 9338490744 10682667442 16024001163 21365334884 32048002326 42730669768 58754670931 64096004652 117509341862 128192009304 176264012793 235018683724 352528025586 470037367448 705056051172 1410112102344