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114221123500352 = 2611615215105123
BaseRepresentation
bin11001111110001000101101…
…011111011111100101000000
3112222102102200111010011112112
4121332020231133133211000
5104432344330104002402
61042532243145514452
733026126630335061
oct3176105537374500
9488372614104475
10114221123500352
11334379a7528470
121098899b1a2a28
134b9700c78209b
14202c490942568
15d31248336e52
hex67e22d7df940

114221123500352 has 112 divisors (see below), whose sum is σ = 251798683299264. Its totient is φ = 50969538048000.

The previous prime is 114221123500333. The next prime is 114221123500403. The reversal of 114221123500352 is 253005321122411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19821263 + ... + 24926385.

Almost surely, 2114221123500352 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 114221123500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125899341649632).

114221123500352 is an abundant number, since it is smaller than the sum of its proper divisors (137577559798912).

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

114221123500352 is a wasteful number, since it uses less digits than its factorization.

114221123500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105728 (or 5105718 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 114221123500352 its reverse (253005321122411), we get a palindrome (367226444622763).

The spelling of 114221123500352 in words is "one hundred fourteen trillion, two hundred twenty-one billion, one hundred twenty-three million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 521 671 704 976 1042 1342 1952 2084 2684 3904 4168 5368 5731 8336 10736 11462 16672 21472 22924 31781 33344 42944 45848 63562 91696 127124 183392 254248 349591 366784 508496 699182 1016992 1398364 2033984 2796728 5105123 5593456 10210246 11186912 20420492 22373824 40840984 56156353 81681968 112312706 163363936 224625412 311412503 326727872 449250824 622825006 898501648 1245650012 1797003296 2491300024 2659769083 3425537533 3594006592 4982600048 5319538166 6851075066 9965200096 10639076332 13702150132 19930400192 21278152664 27404300264 29257459913 42556305328 54808600528 58514919826 85112610656 109617201056 117029839652 162245914063 170225221312 219234402112 234059679304 324491828126 468119358608 648983656252 936238717216 1297967312504 1784705054693 1872477434432 2595934625008 3569410109386 5191869250016 7138820218772 10383738500032 14277640437544 28555280875088 57110561750176 114221123500352