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114148125234 = 234111317289847
BaseRepresentation
bin110101001001111000…
…0100010101000110010
3101220122011211120110000
41222103300202220302
53332233410001414
6124234450250430
711150461025013
oct1522360425062
9356564746400
10114148125234
1144456705a90
121a157b86a16
13a9c1a12090
14574c09500a
152e8137bb09
hex1a93c22a32

114148125234 has 160 divisors (see below), whose sum is σ = 318169627776. Its totient is φ = 30051233280.

The previous prime is 114148125229. The next prime is 114148125281. The reversal of 114148125234 is 432521841411.

114148125234 is a `hidden beast` number, since 1 + 1 + 414 + 8 + 1 + 2 + 5 + 234 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248899 + ... + 538745.

Almost surely, 2114148125234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114148125234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159084813888).

114148125234 is an abundant number, since it is smaller than the sum of its proper divisors (204021502542).

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

114148125234 is a wasteful number, since it uses less digits than its factorization.

114148125234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289902 (or 289893 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Adding to 114148125234 its reverse (432521841411), we get a palindrome (546669966645).

The spelling of 114148125234 in words is "one hundred fourteen billion, one hundred forty-eight million, one hundred twenty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 81 99 102 117 143 153 162 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 891 918 1053 1122 1287 1326 1377 1683 1782 1989 2106 2431 2574 2754 3366 3861 3978 4862 5049 5967 7293 7722 10098 11583 11934 14586 15147 17901 21879 23166 30294 35802 43758 65637 131274 196911 289847 393822 579694 869541 1739082 2608623 3188317 3768011 4927399 5217246 6376634 7536022 7825869 9564951 9854798 11304033 14782197 15651738 19129902 22608066 23477607 28694853 29564394 33912099 41448121 44346591 46955214 54201389 57389706 64056187 67824198 82896242 86084559 88693182 101736297 108402778 124344363 128112374 133039773 162604167 172169118 192168561 203472594 248688726 258253677 266079546 305208891 325208334 373033089 384337122 399119319 487812501 516507354 576505683 610417782 704618057 746066178 798238638 975625002 1119099267 1153011366 1409236114 1463437503 1729517049 2113854171 2238198534 2926875006 3357297801 3459034098 4227708342 4390312509 5188551147 6341562513 6714595602 8780625018 10377102294 12683125026 19024687539 38049375078 57074062617 114148125234