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114338498157 = 361329541769
BaseRepresentation
bin110101001111100011…
…0110000011001101101
3101221010110001112000000
41222133012300121231
53333131123420112
6124305410454513
711155262125062
oct1523706603155
9357113045000
10114338498157
1144544112a84
121a1ab894439
13aa222a8490
14576948cc69
152e92e337dc
hex1a9f1b066d

114338498157 has 112 divisors (see below), whose sum is σ = 191584100400. Its totient is φ = 67722117120.

The previous prime is 114338498117. The next prime is 114338498189. The reversal of 114338498157 is 751894833411.

114338498157 is a `hidden beast` number, since 1 + 1 + 433 + 84 + 9 + 81 + 57 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9327503241 + 105010994916 = 96579^2 + 324054^2 .

It is not a de Polignac number, because 114338498157 - 211 = 114338496109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114338498117) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 148684269 + ... + 148685037.

It is an arithmetic number, because the mean of its divisors is an integer number (1710572325).

Almost surely, 2114338498157 is an apocalyptic number.

It is an amenable number.

114338498157 is a deficient number, since it is larger than the sum of its proper divisors (77245602243).

114338498157 is an equidigital number, since it uses as much as digits as its factorization.

114338498157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1355 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 114338498157 in words is "one hundred fourteen billion, three hundred thirty-eight million, four hundred ninety-eight thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 29 39 81 87 117 243 261 351 377 541 729 769 783 1053 1131 1623 2307 2349 3159 3393 4869 6921 7033 7047 9477 9997 10179 14607 15689 20763 21099 21141 22301 29991 30537 43821 47067 62289 63297 66903 89973 91611 131463 141201 186867 189891 200709 203957 269919 274833 289913 394389 416029 423603 560601 569673 602127 611871 809757 869739 1248087 1270809 1709019 1806381 1835613 2429271 2609217 3744261 3812427 5127057 5408377 5419143 5506839 7287813 7827651 11232783 11437281 12064841 16225131 16257429 16520517 23482953 33698349 36194523 48675393 49561551 70448859 101095047 108583569 146026179 148684653 156842933 211346577 303285141 325750707 438078537 470528799 977252121 1314235611 1411586397 2931756363 3942706833 4234759191 8795269089 12704277573 38112832719 114338498157