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114533995140 = 2234571939829
BaseRepresentation
bin110101010101011000…
…0100001001010000100
3101221122001220210110000
41222222300201022010
53334031200321030
6124341033001300
711163154616115
oct1525260411204
9357561823400
10114533995140
11446344aa834
121a245253230
13aa53946c76
14578741c20c
152ea519d860
hex1aaac21284

114533995140 has 120 divisors (see below), whose sum is σ = 359383895640. Its totient is φ = 30535045632.

The previous prime is 114533995109. The next prime is 114533995193. The reversal of 114533995140 is 41599335411.

114533995140 is a `hidden beast` number, since 1 + 1 + 45 + 3 + 3 + 99 + 514 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9697916484 + 104836078656 = 98478^2 + 323784^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11647746 + ... + 11657574.

It is an arithmetic number, because the mean of its divisors is an integer number (2994865797).

Almost surely, 2114533995140 is an apocalyptic number.

114533995140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114533995140 is an abundant number, since it is smaller than the sum of its proper divisors (244849900500).

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

114533995140 is a wasteful number, since it uses less digits than its factorization.

114533995140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17043 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 114533995140 in words is "one hundred fourteen billion, five hundred thirty-three million, nine hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7193 9829 14386 19658 21579 28772 29487 35965 39316 43158 49145 58974 64737 71930 86316 88461 98290 107895 117948 129474 143860 147435 176922 194211 196580 215790 258948 265383 294870 323685 353844 388422 431580 442305 530766 582633 589740 647370 776844 796149 884610 971055 1061532 1165266 1294740 1326915 1592298 1769220 1942110 2330532 2653830 2913165 3184596 3884220 3980745 5307660 5826330 7961490 11652660 15922980 70699997 141399994 212099991 282799988 353499985 424199982 636299973 706999970 848399964 1060499955 1272599946 1413999940 1908899919 2120999910 2545199892 3181499865 3817799838 4241999820 5726699757 6362999730 7635599676 9544499595 11453399514 12725999460 19088999190 22906799028 28633498785 38177998380 57266997570 114533995140