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114222044431410 = 23529375716214309
BaseRepresentation
bin11001111110001001100100…
…011000100100010000110010
3112222102112001200000022110020
4121332021210120210100302
5104432403221333301120
61042532514404344310
733026161512201216
oct3176114430442062
9488375050008406
10114222044431410
113343832a356613
1210988bb76a5096
134b971284c68c6
14202c53ad8a946
15d3129e0ea640
hex67e264624432

114222044431410 has 128 divisors (see below), whose sum is σ = 291760363065600. Its totient is φ = 28563942435840.

The previous prime is 114222044431387. The next prime is 114222044431421. The reversal of 114222044431410 is 14134440222411.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15273336 + ... + 21487644.

It is an arithmetic number, because the mean of its divisors is an integer number (2279377836450).

Almost surely, 2114222044431410 is an apocalyptic number.

114222044431410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114222044431410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145880181532800).

114222044431410 is an abundant number, since it is smaller than the sum of its proper divisors (177538318634190).

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

114222044431410 is a wasteful number, since it uses less digits than its factorization.

114222044431410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6214956.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 114222044431410 its reverse (14134440222411), we get a palindrome (128356484653821).

The spelling of 114222044431410 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, four hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 435 555 571 870 1073 1110 1142 1713 2146 2855 3219 3426 5365 5710 6438 8565 10730 16095 16559 17130 21127 32190 33118 42254 49677 63381 82795 99354 105635 126762 165590 211270 248385 316905 496770 612683 633810 1225366 1838049 3063415 3676098 6126830 6214309 9190245 12428618 18380490 18642927 31071545 37285854 62143090 93214635 180214961 186429270 229929433 360429922 459858866 540644883 689788299 901074805 1081289766 1149647165 1379576598 1802149610 2299294330 2703224415 3448941495 3548370439 5406448830 6667953557 6897882990 7096740878 10645111317 13335907114 17741852195 20003860671 21290222634 33339767785 35483704390 40007721342 53225556585 66679535570 100019303355 102902742731 106451113170 131289706243 200038606710 205805485462 262579412486 308708228193 393869118729 514513713655 617416456386 656448531215 787738237458 1029027427310 1312897062430 1543541140965 1969345593645 3087082281930 3807401481047 3938691187290 7614802962094 11422204443141 19037007405235 22844408886282 38074014810470 57111022215705 114222044431410