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114316420104 = 233271149150083
BaseRepresentation
bin110101001110111001…
…0100010010000001000
3101221001220111211121100
41222131302202100020
53333110000420404
6124303301341400
711154603352425
oct1523562422010
9357056454540
10114316420104
1144532703457
121a1a4407860
13aa1a848243
145766582d4c
152e91021d39
hex1a9dca2408

114316420104 has 96 divisors (see below), whose sum is σ = 316076904000. Its totient is φ = 37316388480.

The previous prime is 114316420103. The next prime is 114316420121. The reversal of 114316420104 is 401024613411.

114316420104 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 642 + 0 + 10 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (114316420103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686647 + ... + 836729.

It is an arithmetic number, because the mean of its divisors is an integer number (3292467750).

Almost surely, 2114316420104 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 114316420104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158038452000).

114316420104 is an abundant number, since it is smaller than the sum of its proper divisors (201760483896).

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

114316420104 is a wasteful number, since it uses less digits than its factorization.

114316420104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150315 (or 150308 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 114316420104 in words is "one hundred fourteen billion, three hundred sixteen million, four hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 149 213 284 298 426 447 568 596 639 852 894 1192 1278 1341 1704 1788 2556 2682 3576 5112 5364 10579 10728 21158 31737 42316 63474 84632 95211 126948 150083 190422 253896 300166 380844 450249 600332 761688 900498 1200664 1350747 1800996 2701494 3601992 5402988 10655893 10805976 21311786 22362367 31967679 42623572 44724734 63935358 67087101 85247144 89449468 95903037 127870716 134174202 178898936 191806074 201261303 255741432 268348404 383612148 402522606 536696808 767224296 805045212 1587728057 1610090424 3175456114 4763184171 6350912228 9526368342 12701824456 14289552513 19052736684 28579105026 38105473368 57158210052 114316420104