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110144014324434 = 2331272193655243
BaseRepresentation
bin11001000010110011100110…
…110110010001001011010010
3112102222122221201220110202000
4121002303212312101023102
5103414044420131340214
61030131243414334430
732125433232212616
oct3102634666211322
9472878851813660
10110144014324434
11321058a5701732
121042a79365a416
13495c6c772bb4c
141d2adda771346
15cb0172a88809
hex642ce6d912d2

110144014324434 has 96 divisors (see below), whose sum is σ = 247985583762240. Its totient is φ = 36236790664704.

The previous prime is 110144014324411. The next prime is 110144014324453. The reversal of 110144014324434 is 434423410441011.

110144014324434 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 4 + 401 + 4 + 3 + 244 + 3 + 4 = 666.

It is a super-3 number, since 3×1101440143244343 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 167768817 + ... + 168424059.

It is an arithmetic number, because the mean of its divisors is an integer number (2583183164190).

Almost surely, 2110144014324434 is an apocalyptic number.

110144014324434 is an abundant number, since it is smaller than the sum of its proper divisors (137841569437806).

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

110144014324434 is a wasteful number, since it uses less digits than its factorization.

110144014324434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655701 (or 655568 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 110144014324434 its reverse (434423410441011), we get a palindrome (544567424765445).

The spelling of 110144014324434 in words is "one hundred ten trillion, one hundred forty-four billion, fourteen million, three hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 127 193 254 381 386 579 762 1143 1158 1737 2286 3429 3474 5211 6858 10422 16129 24511 32258 48387 49022 73533 96774 145161 147066 220599 290322 435483 441198 655243 661797 870966 1310486 1323594 1965729 3112897 3931458 5897187 6225794 9338691 11794374 17691561 18677382 28016073 35383122 56032146 83215861 84048219 126461899 166431722 168096438 249647583 252923798 379385697 499295166 748942749 758771394 1138157091 1497885498 2246828247 2276314182 3414471273 4493656494 6828942546 10568414347 16060661173 21136828694 31705243041 32121322346 48181983519 63410486082 95115729123 96363967038 144545950557 190231458246 285347187369 289091901114 433637851671 570694374738 867275703342 2039703968971 4079407937942 6119111906913 12238223813826 18357335720739 36714671441478 55072007162217 110144014324434