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10002244014 = 235729101383
BaseRepresentation
bin10010101000010111…
…00010000110101110
3221211001222122100000
421110023202012232
5130441033302024
64332302445130
7502602446160
oct112413420656
927731878300
1010002244014
114273007a74
121b318937a6
13c352c49a9
146ac588930
153d81a2cc9
hex2542e21ae

10002244014 has 96 divisors (see below), whose sum is σ = 26570718720. Its totient is φ = 2759212512.

The previous prime is 10002244009. The next prime is 10002244027. The reversal of 10002244014 is 41044220001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47967 + ... + 149349.

It is an arithmetic number, because the mean of its divisors is an integer number (276778320).

Almost surely, 210002244014 is an apocalyptic number.

10002244014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002244014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285359360).

10002244014 is an abundant number, since it is smaller than the sum of its proper divisors (16568474706).

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

10002244014 is a wasteful number, since it uses less digits than its factorization.

10002244014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101436 (or 101424 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10002244014 its reverse (41044220001), we get a palindrome (51046464015).

It can be divided in two parts, 10002 and 244014, that added together give a square (254016 = 5042).

The spelling of 10002244014 in words is "ten billion, two million, two hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 243 261 378 406 486 522 567 609 783 1134 1218 1566 1701 1827 2349 3402 3654 4698 5481 7047 10962 14094 16443 32886 49329 98658 101383 202766 304149 608298 709681 912447 1419362 1824894 2129043 2737341 2940107 4258086 5474682 5880214 6387129 8212023 8820321 12774258 16424046 17640642 19161387 20580749 24636069 26460963 38322774 41161498 49272138 52921926 57484161 61742247 79382889 114968322 123484494 158765778 172452483 185226741 238148667 344904966 370453482 476297334 555680223 714446001 1111360446 1428892002 1667040669 3334081338 5001122007 10002244014